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1
Academic Journal
Optimal Quadratic Binding for Relational Reasoning in Vector Symbolic Neural Architectures.

Authors: Hiratani, Naoki1 (AUTHOR) n.hiratani@gmail.com, Sompolinsky, Haim1,2 (AUTHOR) haim@fiz.huji.ac.il

Superior Title: Neural Computation. Feb2023, Vol. 35 Issue 2, p105-155. 51p. 1 Diagram, 8 Graphs.

Subject Terms: *COMPLEX numbers, *REPRESENTATIONS of algebras, *COGNITIVE maps (Psychology), *CAYLEY numbers (Algebra), *QUADRATIC programming

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2
Academic Journal
Pre-Leibniz algebras.

Authors: Das, Apurba1 (AUTHOR) apurbadas348@gmail.com

Superior Title: Communications in Algebra. 2024, Vol. 52 Issue 8, p3383-3399. 17p.

Subject Terms: *ALGEBRA, *REPRESENTATIONS of algebras, *OPERATOR algebras, *LIE algebras, *COHOMOLOGY theory

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3
Academic Journal
Euler's difference table and the decomposition of tensor powers of the adjoint representation of the Lie algebra.

Authors: Perelomov, A. M.1 (AUTHOR) aperelomo@gmail.com

Superior Title: Theoretical & Mathematical Physics. Dec2022, Vol. 213 Issue 3, p1665-1668. 4p.

Subject Terms: *LIE algebras, *REPRESENTATIONS of algebras, *REPRESENTATION theory, *EULER angles, *EULER polynomials

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4
Academic Journal
Statistical properties of the κ<0 Weyl–Heisenberg algebra coherent states.

Authors: Alaoui, M.1 (AUTHOR) mustaphaalaoui@gmail.com, Mouhaoui, E.1 (AUTHOR) mouhawi@gmail.com, Maroufi, B.1,2 (AUTHOR) mbouchra@hotmail.com, Daoud, M.1,2 (AUTHOR) m_daoud@hotmail.com

Superior Title: Modern Physics Letters A. 3/14/2024, Vol. 39 Issue 8, p1-17. 17p.

Subject Terms: *ALGEBRA, *REPRESENTATIONS of algebras, *COHERENT states

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5
Academic Journal
A new division algebra representation of E8.

Authors: Dray, Tevian1 (AUTHOR) tevian@math.oregonstate.edu, Manogue, Corinne A.2 (AUTHOR) corinne@physics.oregonstate.edu, Wilson, Robert A.3 (AUTHOR) r.a.wilson@qmul.ac.uk

Superior Title: Journal of Mathematical Physics. Mar2024, Vol. 65 Issue 3, p1-12. 12p.

Subject Terms: *REPRESENTATIONS of algebras, *DIVISION algebras, *GROUP algebras, *LIE groups, *LIE algebras, *ALGEBRA

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6
Academic Journal
A new division algebra representation of E7 from E8.

Authors: Dray, Tevian1 (AUTHOR) tevian@math.oregonstate.edu, Manogue, Corinne A.2 (AUTHOR) corinne@physics.oregonstate.edu, Wilson, Robert A.3 (AUTHOR) r.a.wilson@qmul.ac.uk

Superior Title: Journal of Mathematical Physics. Mar2024, Vol. 65 Issue 3, p1-16. 16p.

Subject Terms: *REPRESENTATIONS of algebras, *DIVISION algebras, *JORDAN algebras, *LIE algebras, *PARAMETERIZATION, *COMMUTATION (Electricity)

Geographic Terms: JORDAN

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7
Academic Journal
Complex Clifford algebra in repeated quantum prisoner's dilemma.

Authors: Eryganov, Ivan1 (AUTHOR) xperyga00@vutbr.cz, Hrdina, Jaroslav1 (AUTHOR)

Superior Title: Mathematical Methods in the Applied Sciences. Feb2024, Vol. 47 Issue 3, p1442-1456. 15p.

Subject Terms: *CLIFFORD algebras, *REPRESENTATIONS of algebras, *DILEMMA, *INFORMATION measurement

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8
Academic Journal
Partial groupoid representations and a relation with the Birget-Rhodes expansion.

Authors: Lautenschlaeger, Wesley G.1 wesleyglautenschlaeger@gmail.com, Tamusiunas, Thaísa1 thaisa.tamusiunas@gmail.com

Superior Title: Portugaliae Mathematica. 2024, Vol. 81 Issue 1/2, p151-162. 12p.

Subject Terms: *GROUPOIDS, *REPRESENTATIONS of algebras

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9
Conference
On tensor product of representation for Lie algebra.

Authors: Sadeq, Hayder1 (AUTHOR) hadohadocr7@uomustansiriyah.edu.iq, Majeed, Taghreed1 (AUTHOR) taghreedmajeed@uomustansiriyah.edu.iq

Superior Title: AIP Conference Proceedings. 2023, Vol. 2834 Issue 1, p1-18. 18p.

Subject Terms: *LIE algebras, *REPRESENTATIONS of algebras, *LIE groups, *GROUP algebras

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10
Conference
Some results of representation for lie algebras.

Authors: Sadeq, Hayder1 (AUTHOR) hadohadocr7@uomustansiriyah.edu.iq, Majeed, Taghreed1 (AUTHOR) taghreedmajeed@uomustansiriyah.edu.iq

Superior Title: AIP Conference Proceedings. 2023, Vol. 2834 Issue 1, p1-13. 13p.

Subject Terms: *REPRESENTATIONS of algebras, *VECTOR algebra, *LINEAR operators, *VECTOR spaces, *BILINEAR forms, *LIE groups, *LIE algebras, *MATHEMATICS, *TENSOR products

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11
Academic Journal
Bound for the cocharacters of the identities of irreducible representations of sl2(Ｃ).

Authors: DOMOKOS, Mátyás1 domokos.matyas@renyi.hu

Superior Title: Turkish Journal of Mathematics. 2022 Special Issue, Vol. 46, p1749-1758. 10p.

Subject Terms: *LIE algebras, *REPRESENTATIONS of algebras, *POLYNOMIALS, *MULTIPLICITY (Mathematics)

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12
Academic Journal
On Implicative Derivations of MTL-Algebras.

Authors: Liu, Jianxin1 (AUTHOR) jxliu@xynu.edu.cn, Li, Yijun2 (AUTHOR) 47-084@gduf.edu.cn, Yang, Yongwei3 (AUTHOR) yangyw@aynu.edu.cn, Wang, Juntao4 (AUTHOR) wjt@xsyu.edu.cn

Superior Title: Axioms (2075-1680). Jul2022, Vol. 11 Issue 7, p340-N.PAG. 12p.

Subject Terms: *REPRESENTATIONS of algebras, *COMMONS, *ALGEBRA, *BIJECTIONS

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14
Academic Journal
Current Hom-Lie algebras.

Authors: BEN JMAA, TORKIA1 torkia.benjmaa@gmail.com, MAKHLOUF, ABDENACER2 Abdenacer.Makhlouf@uha.fr, SAADAOUI, NEJIB3 nejib.saadaoui@fsg.rnu.tn

Superior Title: Acta et Commentationes Universitatis Tartuensis de Mathematica. Jun2022, Vol. 26 Issue 1, p103-127. 25p.

Subject Terms: *ALGEBRA, *REPRESENTATIONS of algebras

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16
Academic Journal
On endomorphism algebras of Gelfand–Graev representations II.

Authors: Li, Tzu‐Jan1 (AUTHOR), Shotton, Jack2 (AUTHOR) jack.g.shotton@durham.ac.uk

Superior Title: Bulletin of the London Mathematical Society. Dec2023, Vol. 55 Issue 6, p2876-2890. 15p.

Subject Terms: *REPRESENTATIONS of algebras, *ENDOMORPHISMS, *ENDOMORPHISM rings, *FINITE fields

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17
Academic Journal
Realization of representations of the Hom-Lie algebra q(2, ℂ) of Jackson.

Authors: Agrebaoui, B.1 (AUTHOR), Faidi, J.1 (AUTHOR) Jaber.elfaidi@gmail.com

Superior Title: Communications in Algebra. 2023, Vol. 51 Issue 12, p5175-5186. 12p.

Subject Terms: *REPRESENTATIONS of algebras, *MODULES (Algebra), *ALGEBRA, *POLYNOMIALS

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18
Academic Journal
Almost Everywhere Ergodicity in Quantum Lattice Models.

Authors: Ampelogiannis, Dimitrios1 (AUTHOR) dimitrios.ampelogiannis@kcl.ac.uk, Doyon, Benjamin1 (AUTHOR) benjamin.doyon@kcl.ac.uk

Superior Title: Communications in Mathematical Physics. Dec2023, Vol. 404 Issue 2, p735-768. 34p.

Subject Terms: *REPRESENTATIONS of algebras, *SPACETIME, *GROUP actions (Mathematics), *ALGEBRA

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19
Academic Journal
Quasinormal modes of the (2+1)-dimensional Chern–Simons black hole via symmetry.

Authors: Avramov, V.1 (AUTHOR) v.avramov@phys.uni-sofia.bg, Rashkov, R. C.1,2 (AUTHOR) rash@phys.uni-sofia.bg, Vetsov, T.1 (AUTHOR) vetsov@phys.uni-sofia.bg

Superior Title: International Journal of Modern Physics A: Particles & Fields; Gravitation; Cosmology; Nuclear Physics. 11/20/2023, Vol. 38 Issue 32, p1-9. 9p.

Subject Terms: *LIE algebras, *REPRESENTATIONS of algebras, *EQUATIONS of motion, *SYMMETRY, *BLACK holes

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20
Academic Journal
The integrality conjecture and the cohomology of preprojective stacks.

Authors: Davison, Ben1 (AUTHOR) ben.davison@ed.ac.uk

Superior Title: Journal für die Reine und Angewandte Mathematik. Nov2023, Vol. 2023 Issue 804, p105-154. 50p.

Subject Terms: *REPRESENTATION theory, *REPRESENTATIONS of algebras, *CATEGORIES (Mathematics), *LOGICAL prediction, *POLYNOMIALS, *HOMOLOGICAL algebra

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