Academic Journal

Structure Constants for Immaculate Functions.

Bibliographic Details
Title: Structure Constants for Immaculate Functions.
Authors: Li, Shu Xiao1 lishu3@yorku.ca
Superior Title: Annals of Combinatorics. Jun2018, Vol. 22 Issue 2, p347-361. 15p.
Subject Terms: *MATHEMATICAL constants, *NONCOMMUTATIVE differential geometry, *MATHEMATICAL symmetry, *COEFFICIENTS (Statistics), *LOGICAL prediction
Abstract: The immaculate functions, Sa, were introduced as a Schur-like basis for NSym, the ring of noncommutative symmetric functions. We investigate their structure constants. These are analogues of Littlewood-Richardson coefficents. We will give a new proof of the left Pieri rule for the Sa, a translation invariance property for the structure coefficients of the Sa, and a counterexample to an Sa-analogue of the saturation conjecture. [ABSTRACT FROM AUTHOR]
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