121 citations · 1.4k across the 88 of their papers we have counts for
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math.QA1998★ 2 cited
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★ 5 cited
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…
math.QA1998★ 121 cited
Inhomogeneous lattice paths, generalized Kostka polynomials and A supernomials
Anne Schilling, S. Ole Warnaar
Inhomogeneous lattice paths are introduced as ordered sequences of rectangular Young tableaux thereby generalizing recent work on the Kostka polynomials by Nakayashiki and Yamada a…