On generalized Kostka polynomials and quantum Verlinde rule

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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.
24 pages, LaTeX ; to appear in D.Fuchs 60-th anniversary volume. Subsection 3.4 removed

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Quantum Algebra, Representation Theory, 17B10; 81T40

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http://salesiana.dossiersoluciones.com/handle/123456789/77852

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812093
 http://arxiv.org/abs/math/9812093
 Differential topology,infinite-dimensional Lie algebras, and applications, 61--79, Amer. Math. Soc. Transl. Ser. 2, 194

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arXiv