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      Skew quantum Murnaghan-Nakayama rule

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          Abstract

          In this paper, we extend recent results of Assaf and McNamara on skew Pieri rule and skew Murnaghan-Nakayama rule to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule. We end with some conjectures for skew rules for Hall-Littlewood polynomials.

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          Author and article information

          Journal
          27 January 2011
          Article
          1101.5250
          05f56890-98a5-4a92-888a-29c259871afd

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          19 pages, 16 figures
          math.CO

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