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Graded characters of modules supported in the closure of a nilpotent conjugacy class | | Mark Shimozono
; Jerzy Weyman
; | | Date: |
7 Apr 1998 | | Subject: | Quantum Algebra; Combinatorics MSC-class: 05E05 | math.QA math.CO | | Abstract: | We study the Poincare polynomials of isotypic components of a natural family of graded GL(n)-modules supported in the closure of a nilpotent conjugacy class. These polynomials generalize the Kostka-Foulkes and are q-analogues of Littlewood-Richardson coefficients corresponding to arbitrary tensor products of irreducibles. Many properties and formulas for these polynomials are derived, such as a generalized Morris recurrence, q-Kostant formula, and a conjectural formula in terms of catabolizable tableaux and charge. | | Source: | arXiv, math.QA/9804036 | | Services: | Forum | Review | PDF | Favorites | |
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