Bosonic formula for level-restricted paths

Details Bosonic formula for level-restricted paths Bosonic formula for level-restricted paths

1998-12-18

arxiv.org/abs/math/9812106v2

Advanced Studies in Pure Mathematics 28 (2000) 305-325

Mathematics

Quantum Algebra

16 pages, AMS-LaTeX, style file axodraw.sty required; Lemma 4 extended to include perfect crystals of level 2

Scientific paper

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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