Title of article
The Murnaghan–Nakayama rule for k-Schur functions
Author/Authors
Bandlow، نويسنده , , Jason and Schilling، نويسنده , , Anne and Zabrocki، نويسنده , , Mike، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
20
From page
1588
To page
1607
Abstract
We prove the 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.
Keywords
Affine symmetric group , Affine nilCoxeter algebra , Cores , Noncommutative Symmetric Functions , Murnaghan–Nakayama rule , k-Schur functions
Journal title
Journal of Combinatorial Theory Series A
Serial Year
2011
Journal title
Journal of Combinatorial Theory Series A
Record number
1531658
Link To Document