Name
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcta.2011.01.009 | The Journal of Chemical Thermodynamics |
Keywords | DocType | Volume |
k-schur function,nilcoxeter algebra,affine symmetric group,explicit formula,murnaghan–nakayama rule,murnaghan-nakayama rule,affine analogue,affine nilcoxeter algebra,power sum symmetric function,cores,noncommutative k-schur function,noncommutative symmetric functions,k -schur functions,noncommutative symmetric function | Journal | 118 |
Issue | ISSN | Citations |
5 | Journal of Combinatorial Theory, Series A | 3 |
PageRank | References | Authors |
0.60 | 2 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jason Bandlow | 1 | 25 | 4.10 |
| Anne Schilling | 2 | 3 | 0.60 |
| Mike Zabrocki | 3 | 13 | 6.60 |