The Bailey lemma and Kostka polynomials

Details The Bailey lemma and Kostka polynomials The Bailey lemma and Kostka polynomials

2002-07-03

arxiv.org/abs/math/0207030v1

J. Algebraic Combin. 20 (2004), 131-171

Mathematics

Combinatorics

39 pages, AMS-LaTeX

Scientific paper

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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