On generalized Kostka polynomials and quantum Verlinde rule

1998/12/31 by B. Feigin, S. Loktev · 1 citation
Mathematics · #math.QA #math.RT #msc:17B10 #msc:81T40

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published as Differential topology,infinite-dimensional Lie algebras, and applications, 61--79, Amer. Math. Soc. Transl. Ser. 2, 194 · 24 pages, LaTeX ; to appear in D.Fuchs 60-th anniversary volume. Subsection 3.4 removed

arxiv created 1999/05/16 · arxiv updated 2009/11/30

Abstract

Here we propose a way to construct generalized Kostka polynomials. Namely, we construct an equivariant filtration on tensor products of irreducible representations. Further, we discuss properties of the filtration and the adjoint graded space. Finally, we apply the construction to computation of coinvariants of current algebras.

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• Graded representations of current Lie superalgebras \mathfraksl(1|2)[t]

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