Jason Bandlow ; Anne Schilling ; Mike Zabrocki
-
The Murnaghan―Nakayama rule for k-Schur functions
dmtcs:2894 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2011,
DMTCS Proceedings vol. AO, 23rd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2011)
-
https://doi.org/10.46298/dmtcs.2894
The Murnaghan―Nakayama rule for k-Schur functions
Authors: Jason Bandlow 1; Anne Schilling 2; Mike Zabrocki 3
NULL##NULL##0000-0002-6636-2392
Jason Bandlow;Anne Schilling;Mike Zabrocki
1 Department of Mathematics [Philadelphia]
2 Department of Mathematics [Univ California Davis]
3 Department of Mathematics and Statistics [Toronto]
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 terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmetric functions of Fomin and Greene.