254 research outputs found

    The Murnaghan-Nakayama rule for k-Schur functions

    Get PDF
    We prove the Murgnaghan--Nakayama rule for kk-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 kk-Schur function in terms of kk-Schur functions. This is proved using the noncommutative kk-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
    • …
    corecore