New Expressions for Level-restricted Kostka Polynomials

Anne Schilling () and Mark Shimozono ()
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Anne Schilling: MIT, Department of Mathematics
Mark Shimozono: Virginia Tech, Department of Mathematics

A chapter in Formal Power Series and Algebraic Combinatorics, 2000, pp 367-378 from Springer

Abstract: Abstract We show that the bijection between tableaux and rigged configurations introduced by Kirillov and Reshetikhin is well-behaved with respect to level-restriction. hi particular we give an explicit characterization of the image of level-restricted tableaux under this bijection which yields new expressions for level-restricted Kostka polynomials. We conjecture that the bijection is also well-behaved with respect to skew shapes and give an explicit characterization of the image under the bijection. Type  branching functions can be expressed in terms of limits of level-restricted Kostka polynomials, thereby also yielding new expressions for these branching functions.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-04166-6_33

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DOI: 10.1007/978-3-662-04166-6_33

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