English

The degree of the discriminant of irreducible representations

Algebraic Geometry 2007-08-22 v2 Representation Theory

Abstract

We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representation. The proof uses equivariant cohomology techniques, namely, the theory of Thom polynomials, and a new method for their computation. We study the combinatorics of our formulas in various special cases.

Keywords

Cite

@article{arxiv.math/0502500,
  title  = {The degree of the discriminant of irreducible representations},
  author = {L. M. Feher and A. Nemethi and R. Rimanyi},
  journal= {arXiv preprint arXiv:math/0502500},
  year   = {2007}
}