The Bailey lemma and Kostka polynomials
S. Ole Warnaar
Abstract
Using the theory of Kostka polynomials, we prove an An-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 An-1(1) and to identities for A-type branching functions.
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