Clifford algebras and the Duflo isomorphism

Details Clifford algebras and the Duflo isomorphism Clifford algebras and the Duflo isomorphism

2003-04-22

arxiv.org/abs/math/0304328v1

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

Mathematics

Representation Theory

Scientific paper

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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