Expansion of $k$-Schur functions for maximal rectangles within the affine nilCoxeter algebra

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2012Embargo end date: 01 Jan 2011 Canada English Publisher:International Press of BostonJournal:Journal of Combinatorics, volume 3, pages 563-589 (issn: 2156-3527, eissn: 2150-959X,

Copyright policy )Funded by:NSERC | unidentified

Authors: Berg, Chris; Bergeron, Nantel; Thomas, Hugh; Zabrocki, Mike;

doi: 10.4310/joc.2012.v3.n3.a9 , 10.48550/arxiv.1107.3610

arXiv: 1107.3610

Expansion of $k$-Schur functions for maximal rectangles within the affine nilCoxeter algebra

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Abstract

We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra. Using our result, we also show a commutation relation of k-Schur functions corresponding to rectangles with the generators of the affine nilCoxeter algebra.

to appear in Journal of Combinatorics, 28 pages

Country

Canada

Related Organizations

Fields Institute for Research in Mathematical Sciences
Canada
University of New Brunswick
Canada
University of Quebec
Canada
University of Toronto
Canada
York College
United States

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Keywords

Combinatorial formulas, 05E05, 05E18, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Representation Theory (math.RT), nilCoxeter algebra, k-Schur functions, Mathematics - Representation Theory

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