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arXiv · 1107.3610

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

Chris Berg·Nantel Bergeron·Hugh Thomas·Mike Zabrocki
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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.

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Chris Berg, Nantel Bergeron, Hugh Thomas, Mike Zabrocki. 2012-06-15. Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra. https://doi.org/10.4310/joc.2012.v3.n3.a9

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