200 citations · 1.6k across the 65 of their papers we have counts for
4 papers · 2 filters
Manin pairs and moment maps
Anton Alekseev, Yvette Kosmann-Schwarzbach
A Lie group G in a group pair (D,G), integrating a Lie algebra g in a Manin pair (d,g) has a quasi-Poisson structure. We define the quasi-Poisson actions of such Lie groups G, that…
Group-valued equivariant localization
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We prove a localization formula for group-valued equivariant de Rham cohomology of a compact G-manifold. This formula is a non-trivial generalization of the localization formula of…
The non-commutative Weil algebra
Anton Alekseev, Eckhard Meinrenken
Let G be a connected Lie group with Lie algebra g. The Duflo map is a vector space isomorphism between the symmetric algebra S(g) and the universal enveloping algebra U(g) which, a…
Duistermaat-Heckman distributions for group valued moment maps
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We introduce equivariant Liouville forms and Duistermaat-Heckman distributions for Hamiltonian group actions with group valued moment maps. The theory is illustrated by application…