The Bailey Lemma and Kostka Polynomials

@article{Warnaar2002TheBL,
  title={The Bailey Lemma and Kostka Polynomials},
  author={S. Warnaar},
  journal={Journal of Algebraic Combinatorics},
  year={2002},
  volume={20},
  pages={131-171}
}
  • S. Warnaar
  • Published 2002
  • Mathematics
  • Journal of Algebraic Combinatorics
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 A(1)n−1 and to identities for A-type branching functions. 
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