Search Results - Group theory

1

Report

$\Lambda$-buildings associated to quasi-split groups over $\Lambda$-valued fields

Authors: Hébert, Auguste, Izquierdo, Diego, Loisel, Benoît

Contributors: Université de Lorraine (UL), Institut Élie Cartan de Lorraine (IECL), Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Centre de Mathématiques Laurent Schwartz (CMLS), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), École polytechnique (X), Université de Poitiers = University of Poitiers (UP), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: https://hal.science/hal-02430546 ; 2024.

Subject Terms: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2001.01542; hal-02430546; https://hal.science/hal-02430546; https://hal.science/hal-02430546v3/document; https://hal.science/hal-02430546v3/file/main.pdf; ARXIV: 2001.01542

Availability: https://hal.science/hal-02430546
https://hal.science/hal-02430546v3/document
https://hal.science/hal-02430546v3/file/main.pdf

2

Report

Arithmetic subgroups of Chevalley group schemes over function fields II: Conjugacy classes of maximal unipotent subgroups

Authors: Bravo, Claudio, Loisel, Benoit

Contributors: Centre de Mathématiques Laurent Schwartz (CMLS), École polytechnique (X)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), Anid-Conicyt by the Postdoctoral fellow-ship No 74220027 (First author, Chile)

Superior Title: https://hal.science/hal-04196262 ; 2023.

Subject Terms: arithmetic subgroups, algebraic function fields, Chevalley groups, maximal unipotent subgroups, Bruhat-Tits buildings, MSC: 20G30, 20E45 (primary) 11R58, 20E42 (secondary), [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2307.11193; hal-04196262; https://hal.science/hal-04196262; https://hal.science/hal-04196262/document; https://hal.science/hal-04196262/file/main.pdf; ARXIV: 2307.11193

Availability: https://hal.science/hal-04196262
https://hal.science/hal-04196262/document
https://hal.science/hal-04196262/file/main.pdf

3

Report

On Chevalley group schemes over function fields: quotients of the Bruhat-Tits building by $\{\wp\}$-arithmetic subgroups

Authors: Bravo, Claudio, Loisel, Benoit

Contributors: Universidad de Chile = University of Chile Santiago (UCHILE), Unité de Mathématiques Pures et Appliquées (UMPA-ENSL), École normale supérieure de Lyon (ENS de Lyon)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), The first author was partially supported by Anid-Conicyt by the Doctoral fellowship No 21180544., ANR-15-CE40-0012,GéoLie,Méthodes géométriques en théorie de Lie(2015)

Superior Title: https://hal.science/hal-03728236 ; 2022.

Subject Terms: Arithmetic subgroups, Chevalley groups, Bruhat-Tits buildings, Global function fields, Amalgamated products, (Co)homology, MSC2020: 20G30, 51E24, 20J05 (Primary) 14H05, 20E45, 20E42 (Secondary), [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2207.06546; hal-03728236; https://hal.science/hal-03728236; https://hal.science/hal-03728236v2/document; https://hal.science/hal-03728236v2/file/main.pdf; ARXIV: 2207.06546

Availability: https://hal.science/hal-03728236
https://hal.science/hal-03728236v2/document
https://hal.science/hal-03728236v2/file/main.pdf

4

Report

On Chevalley group schemes over function fields: quotients of the Bruhat-Tits building by $\{\wp\}$-arithmetic subgroups

Authors: Bravo, Claudio, Loisel, Benoit

Contributors: Universidad de Chile = University of Chile Santiago (UCHILE), Unité de Mathématiques Pures et Appliquées (UMPA-ENSL), École normale supérieure de Lyon (ENS de Lyon)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques et Applications (LMA-Poitiers), Université de Poitiers-Centre National de la Recherche Scientifique (CNRS), The first author was partially supported by Anid-Conicyt by the Doctoral fellowship No 21180544., ANR-15-CE40-0012,GéoLie,Méthodes géométriques en théorie de Lie(2015)

Superior Title: https://hal.science/hal-03728236 ; 2022.

Subject Terms: Arithmetic subgroups, Chevalley groups, Bruhat-Tits buildings, Global function fields, Amalgamated products, (Co)homology, MSC2020: 20G30, 51E24, 20J05 (Primary) 14H05, 20E45, 20E42 (Secondary), [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2207.06546; hal-03728236; https://hal.science/hal-03728236; https://hal.science/hal-03728236/document; https://hal.science/hal-03728236/file/Octopus_Arxiv.pdf; ARXIV: 2207.06546

Availability: https://hal.science/hal-03728236
https://hal.science/hal-03728236/document
https://hal.science/hal-03728236/file/Octopus_Arxiv.pdf

5

Academic Journal

Complex reflection groups and K3 surfaces I

Authors: Bonnafé, Cédric, Sarti, Alessandra

Contributors: Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), ANR-16-CE40-0010,GeRepMod,Méthodes géométriques en théorie des représentations modulaires des groupes réductifs finis(2016), ANR-18-CE40-0024,CATORE,CATEGORIFICATIONS EN TOPOLOGIE ET EN THEORIE DES REPRESENTATIONS(2018)

Superior Title: ISSN: 2491-6765 ; Épijournal de Géométrie Algébrique ; https://hal.science/hal-02573148 ; Épijournal de Géométrie Algébrique, 2021, 5, ⟨10.46298/epiga.2021.volume5.6573⟩.

Subject Terms: [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2005.04460; hal-02573148; https://hal.science/hal-02573148; https://hal.science/hal-02573148/document; https://hal.science/hal-02573148/file/k3-1-arxiv.pdf; ARXIV: 2005.04460

Availability: https://doi.org/10.46298/epiga.2021.volume5.6573
https://hal.science/hal-02573148
https://hal.science/hal-02573148/document
https://hal.science/hal-02573148/file/k3-1-arxiv.pdf

Zugang prüfen (DOI)

6

Academic Journal

K3 surfaces with maximal finite automorphism groups containing $M_{20}$

Authors: Bonnafé, Cédric, Sarti, Alessandra

Contributors: Institut Montpelliérain Alexander Grothendieck (IMAG), Université de Montpellier (UM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), ANR-16-CE40-0010,GeRepMod,Méthodes géométriques en théorie des représentations modulaires des groupes réductifs finis(2016), ANR-18-CE40-0024,CATORE,CATEGORIFICATIONS EN TOPOLOGIE ET EN THEORIE DES REPRESENTATIONS(2018)

Superior Title: ISSN: 0373-0956.

Subject Terms: [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-02317043; https://hal.science/hal-02317043; https://hal.science/hal-02317043v2/document; https://hal.science/hal-02317043v2/file/m20_final.pdf

Availability: https://doi.org/10.5802/aif.3411
https://hal.science/hal-02317043
https://hal.science/hal-02317043v2/document
https://hal.science/hal-02317043v2/file/m20_final.pdf

Zugang prüfen (DOI)

7

Academic Journal

Algebraic ℚ-groups as abstract groups

Authors: Frécon, Olivier

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: Memoirs of the American Mathematical Society ; https://univ-poitiers.hal.science/hal-03704180 ; Memoirs of the American Mathematical Society, 2018, 255 (1219), ⟨10.1090/memo/1219⟩

Subject Terms: [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-03704180; https://univ-poitiers.hal.science/hal-03704180; https://univ-poitiers.hal.science/hal-03704180/document; https://univ-poitiers.hal.science/hal-03704180/file/Isomorphism.pdf

Availability: https://doi.org/10.1090/memo/1219
https://univ-poitiers.hal.science/hal-03704180
https://univ-poitiers.hal.science/hal-03704180/document
https://univ-poitiers.hal.science/hal-03704180/file/Isomorphism.pdf

Zugang prüfen (DOI)

8

Academic Journal

Simple groups of Morley rank 3 are algebraic

Authors: Frécon, Olivier

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: ISSN: 0894-0347 ; Journal of the American Mathematical Society ; https://univ-poitiers.hal.science/hal-03704181 ; Journal of the American Mathematical Society, 2018, 31 (3), pp.643-659. ⟨10.1090/jams/892⟩.

Subject Terms: [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-03704181; https://univ-poitiers.hal.science/hal-03704181; https://univ-poitiers.hal.science/hal-03704181/document; https://univ-poitiers.hal.science/hal-03704181/file/SimpleGpsRk3-V4.pdf

Availability: https://doi.org/10.1090/jams/892
https://univ-poitiers.hal.science/hal-03704181
https://univ-poitiers.hal.science/hal-03704181/document
https://univ-poitiers.hal.science/hal-03704181/file/SimpleGpsRk3-V4.pdf

Zugang prüfen (DOI)

9

Academic Journal

Linearity of groups definable in o-minimal structures

Authors: Frécon, Olivier

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: ISSN: 1022-1824.

Subject Terms: [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-03704185; https://univ-poitiers.hal.science/hal-03704185; https://univ-poitiers.hal.science/hal-03704185/document; https://univ-poitiers.hal.science/hal-03704185/file/o-minimalGroups.pdf

Availability: https://doi.org/10.1007/s00029-016-0247-9
https://univ-poitiers.hal.science/hal-03704185
https://univ-poitiers.hal.science/hal-03704185/document
https://univ-poitiers.hal.science/hal-03704185/file/o-minimalGroups.pdf

Zugang prüfen (DOI)

10

Academic Journal

Structure of Borel subgroups in simple groups of finite Morley rank

Authors: Altinel, Tuna, Burdges, Jeffrey, Frécon, Olivier

Contributors: Algèbre, géométrie, logique (AGL), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: ISSN: 0021-2172.

Subject Terms: [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-00872349; https://hal.science/hal-00872349; https://hal.science/hal-00872349/document; https://hal.science/hal-00872349/file/jordanminimalIJM.pdf

Availability: https://doi.org/10.1007/s11856-015-1195-3
https://hal.science/hal-00872349
https://hal.science/hal-00872349/document
https://hal.science/hal-00872349/file/jordanminimalIJM.pdf

Zugang prüfen (DOI)

11

Academic Journal

On Weyl groups in minimal simple groups of finite Morley rank

Authors: Altinel, Tuna, Burdges, Jeffrey, Frécon, Olivier

Contributors: Algèbre, géométrie, logique (AGL), Institut Camille Jordan (ICJ), École Centrale de Lyon (ECL), Université de Lyon-Université de Lyon-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Institut National des Sciences Appliquées de Lyon (INSA Lyon), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS)-École Centrale de Lyon (ECL), Université de Lyon-Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-Université Jean Monnet - Saint-Étienne (UJM)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: ISSN: 0021-2172.

Subject Terms: [MATH.MATH-LO]Mathematics [math]/Logic [math.LO], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-00711484; https://hal.science/hal-00711484; https://hal.science/hal-00711484/document; https://hal.science/hal-00711484/file/tetraweylrevision.pdf

Availability: https://hal.science/hal-00711484
https://hal.science/hal-00711484/document
https://hal.science/hal-00711484/file/tetraweylrevision.pdf

12

Report

THE SYMMETRIC INVARIANTS OF CENTRALIZERS AND SLODOWY GRADING

Authors: Charbonnel, Jean-Yves, Moreau, Anne

Contributors: Institut de Mathématiques de Jussieu (IMJ), Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: https://hal.science/hal-01082562 ; 2014.

Subject Terms: symmetric invariant, centralizer, polynomial algebra, Slodowy grading, [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-01082562; https://hal.science/hal-01082562; https://hal.science/hal-01082562v2/document; https://hal.science/hal-01082562v2/file/sp.pdf

Availability: https://hal.science/hal-01082562
https://hal.science/hal-01082562v2/document
https://hal.science/hal-01082562v2/file/sp.pdf

13

Report

Sur les champs de vecteurs invariants sur l'espace tangent d'un espace symétrique

Authors: Bouaziz, Abderrazak, Kamoun, Nouri

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), Département de Mathématiques Monastir, Faculté des Sciences de Monastir (FSM), Université de Monastir - University of Monastir (UM)-Université de Monastir - University of Monastir (UM)

Superior Title: https://hal.science/hal-00853349 ; 2013.

Subject Terms: [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1308.5108; hal-00853349; https://hal.science/hal-00853349; https://hal.science/hal-00853349/document; https://hal.science/hal-00853349/file/article.pdf; ARXIV: 1308.5108

Availability: https://hal.science/hal-00853349
https://hal.science/hal-00853349/document
https://hal.science/hal-00853349/file/article.pdf

14

Report

Fitting sets in U-groups

Authors: Frécon, Olivier

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS)

Superior Title: https://hal.science/hal-00912367 ; 2013.

Subject Terms: Locally finite groups, Fitting sets, Injectors, 20F17, 20D10, [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: hal-00912367; https://hal.science/hal-00912367; https://hal.science/hal-00912367/document; https://hal.science/hal-00912367/file/FittingSets101113.pdf

Availability: https://hal.science/hal-00912367
https://hal.science/hal-00912367/document
https://hal.science/hal-00912367/file/FittingSets101113.pdf

15

Dissertation/ Thesis

Kostant principal filtration and paths in weight lattice ; Filtration principale de Kostant et chemins dans des réseaux de poids

Authors: Kusumastuti, Nilamsari

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), Université de Poitiers, Abderrazak Bouaziz, Anne Moreau

Superior Title: https://theses.hal.science/tel-02460865 ; Operator Algebras [math.OA]. Université de Poitiers, 2019. English. ⟨NNT : 2019POIT2288⟩.

Subject Terms: Principal filtration, Chevalley and Harish-Chandra projections, Weighted paths, Filtration principale, Projections de Chevalley et de Harish-Chandra, Chemins pondérés, [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR]

Relation: NNT: 2019POIT2288; tel-02460865; https://theses.hal.science/tel-02460865; https://theses.hal.science/tel-02460865/document; https://theses.hal.science/tel-02460865/file/2019-Kusumastuti-Nilamsari-These.pdf

Availability: https://theses.hal.science/tel-02460865
https://theses.hal.science/tel-02460865/document
https://theses.hal.science/tel-02460865/file/2019-Kusumastuti-Nilamsari-These.pdf

16

Dissertation/ Thesis

Distinguished representations and conjecture of Prasad and Takloo-Bighash ; Représentations distinguées et conjecture de Prasad et Takloo-Bighash

Authors: Chommaux, Marion

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), Université de Poitiers, Nadir Matringe, Paul Broussous

Superior Title: https://theses.hal.science/tel-02529153 ; Théorie des groupes [math.GR]. Université de Poitiers, 2019. Français. ⟨NNT : 2019POIT2287⟩.

Subject Terms: Reductive groups over local fields, Relative Langlands program, Symmetric spaces, Harmonic analysis on groups, Groupes réductifs sur un corps local, Programme de Langlands relatif, Espaces symétriques, Analyse harmonique sur les groupes, [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR], [MATH.MATH-RT]Mathematics [math]/Representation Theory [math.RT]

Relation: NNT: 2019POIT2287; tel-02529153; https://theses.hal.science/tel-02529153; https://theses.hal.science/tel-02529153/document; https://theses.hal.science/tel-02529153/file/2019-Chommaux-Marion-These.pdf

Availability: https://theses.hal.science/tel-02529153
https://theses.hal.science/tel-02529153/document
https://theses.hal.science/tel-02529153/file/2019-Chommaux-Marion-These.pdf

17

Dissertation/ Thesis

Action of the Klein group on a K3 surface ; Action du groupe de Klein sur une surface K3

Authors: Menegatti, Paolo

Contributors: Laboratoire de mathématiques et applications UMR 7348 (LMA Poitiers ), Université de Poitiers = University of Poitiers (UP)-Centre National de la Recherche Scientifique (CNRS), Université de Poitiers, Samuel Boissière

Superior Title: https://theses.hal.science/tel-02535197 ; Topologie algébrique [math.AT]. Université de Poitiers, 2019. Français. ⟨NNT : 2019POIT2297⟩.

Relation: NNT: 2019POIT2297; tel-02535197; https://theses.hal.science/tel-02535197; https://theses.hal.science/tel-02535197/document; https://theses.hal.science/tel-02535197/file/2019-MENEGATTI-Paolo-These.pdf

Availability: https://theses.hal.science/tel-02535197
https://theses.hal.science/tel-02535197/document
https://theses.hal.science/tel-02535197/file/2019-MENEGATTI-Paolo-These.pdf

18

Academic Journal

On the Evaluation of the Integral ∫ ∞ 0 x -a (1- sin b x/x b ) dx

Authors: El-Rabii, Hazem

Contributors: Laboratoire de combustion et de détonique (LCD), Université de Poitiers-École Nationale Supérieure de Mécanique et d’Aérotechnique Poitiers (ISAE-ENSMA )-Centre National de la Recherche Scientifique (CNRS)

Superior Title: Scientia ser ; https://hal.science/hal-00245594 ; Scientia ser, 2007, pp.20-24

Subject Terms: [MATH.MATH-CT]Mathematics [math]/Category Theory [math.CT], [MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM], [MATH.MATH-GR]Mathematics [math]/Group Theory [math.GR], [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]

Relation: hal-00245594; https://hal.science/hal-00245594

Availability: https://hal.science/hal-00245594