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math.QA1998
Bosonic formula for level-restricted paths
Anne Schilling, Mark Shimozono
We prove a bosonic formula for the generating function of level-restricted paths for the infinite families of affine Kac-Moody algebras. In affine type A this yields an expression…
math.QA1998
An A Bailey lemma and Rogers--Ramanujan-type identities
George E. Andrews, Anne Schilling, S. Ole Warnaar
Using new -functions recently introduced by Hatayama et al. and by (two of) the authors, we obtain an A_2 version of the classical Bailey lemma. We apply our result, which is di…