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Home > Vol 20, No 2 (2004)

S.Ole Warnaar

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 ⁽¹⁾ _n-1 and to identities for A-type branching functions.

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