254 research outputs found
The Murnaghan-Nakayama rule for k-Schur functions
We prove the Murgnaghan--Nakayama rule for -Schur functions of Lapointe
and Morse, that is, we give an explicit formula for the expansion of the
product of a power sum symmetric function and a -Schur function in terms of
-Schur functions. This is proved using the noncommutative -Schur
functions in terms of the nilCoxeter algebra introduced by Lam and the affine
analogue of noncommutative symmetric functions of Fomin and Greene.Comment: 23 pages, updated to reflect referee comments, to appear in Journal
of Combinatorial Theory, Series
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