342 citations · 647 across the 49 of their papers we have counts for
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Lie theory and the Chern-Weil homomorphism
A. Alekseev, E. Meinrenken
We introduce a canonical Chern-Weil map for possibly non-commutative g-differential algebras with connection. Our main observation is that the generalized Chern-Weil map is an alge…
Clifford algebras and the Duflo isomorphism
Eckhard Meinrenken
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, generali…
Clifford algebras and the classical dynamical Yang-Baxter equation
A. Alekseev, E. Meinrenken
We describe a relationship of the classical dynamical Yang-Baxter equation with the following elementary problem for Clifford algebras: Given a vector space with quadratic form…
Poisson geometry and the Kashiwara-Vergne conjecture
A. Alekseev, E. Meinrenken
We give a Poisson-geometric proof of the Kashiwara-Vergne conjecture for quadratic Lie algebras, based on the equivariant Moser trick.