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arxiv: math/0304328 · v1 · submitted 2003-04-22 · 🧮 math.RT

Clifford algebras and the Duflo isomorphism

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keywords algebrasduflocliffordisomorphismquantizationalekseevarticlecertain
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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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