Clifford algebras and the Duflo isomorphism

2003/04/22 by Eckhard Meinrenken
Mathematics · #math.RT #msc:17B #msc:22E60 #msc:15A66 #msc:55N91

paper · pdf

published as Proceedings of the ICM, Beijing 2002, vol. 2, 637--642

arxiv created 2003/04/22 · arxiv updated 2009/11/30

Abstract

This article summarizes joint work with A. Alekseev (Geneva) on the Duflo isomorphism for quadratic Lie algebras. We describe a certain quantization map for Weil algebras, generalizing both the Duflo map and the quantization map for Clifford algebras. In this context, Duflo's theorem generalizes to a statement in equivariant cohomology.

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