The degree of the discriminant of irreducible representations

Details The degree of the discriminant of irreducible representations The degree of the discriminant of irreducible representations

2005-02-23

arxiv.org/abs/math/0502500v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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