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Bosonic formula for level-restricted paths

Anne Schilling·Mark Shimozono
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Abstract

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 for the level-restricted generalized Kostka polynomials.

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Anne Schilling, Mark Shimozono. 1999-03-04. Bosonic formula for level-restricted paths. https://arxiv.org/abs/math/9812106

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