The degree of the discriminant of irreducible representations

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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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Algebraic Geometry, Representation Theory, 14N10, 14L30, 55N91

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http://salesiana.dossiersoluciones.com/handle/123456789/136466

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502500
 http://arxiv.org/abs/math/0502500

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arXiv