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arxiv: math/0502500 · v2 · submitted 2005-02-23 · 🧮 math.AG · math.RT

The degree of the discriminant of irreducible representations

classification 🧮 math.AG math.RT
keywords degreediscriminantgroupirreduciblerepresentationscasescohomologycombinatorics
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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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