On generalized Kostka polynomials and quantum Verlinde rule
Quantum Algebra
2007-05-23 v4 Representation Theory
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.
Cite
@article{arxiv.math/9812093,
title = {On generalized Kostka polynomials and quantum Verlinde rule},
author = {B. Feigin and S. Loktev},
journal= {arXiv preprint arXiv:math/9812093},
year = {2007}
}
Comments
24 pages, LaTeX ; to appear in D.Fuchs 60-th anniversary volume. Subsection 3.4 removed