The Murnaghan―Nakayama rule for k-Schur functions

We prove a Murnaghan–Nakayama rule for k-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 k-Schur function in terms of k-Schur functions. This is proved using the noncommutative k-Schur functions in t...

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Bibliographic Details
Published in:	Discrete Mathematics & Theoretical Computer Science
Main Authors:	Jason Bandlow, Anne Schilling, Mike Zabrocki
Format:	Article
Language:	English
Published:	Discrete Mathematics & Theoretical Computer Science 2011-01-01
Subjects:	murnaghan―nayakama rule symmetric functions noncommutative symmetric functions k-schur functions [math.math-co] mathematics [math]/combinatorics [math.co] [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
Online Access:	https://dmtcs.episciences.org/2894/pdf

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