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The Bailey lemma and Kostka polynomials

S. Ole Warnaar
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Abstract

Using the theory of Kostka polynomials, we prove an A_{n-1} version of Bailey's lemma at integral level. Exploiting a new, conjectural expansion for Kostka numbers, this is then generalized to fractional levels, leading to a new expression for admissible characters of A_{n-1}^{(1)} and to identities for A-type branching functions.

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S. Ole Warnaar. 2002-07-03. The Bailey lemma and Kostka polynomials. https://arxiv.org/abs/math/0207030

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