46 citations · 77 across the 6 of their papers we have counts for
6 papers
Quantum gauge fields and flat connections in 2-dimensional BF theory
Anton Alekseev, Nevena Ilieva
The 2-dimensional BF theory is both a gauge theory and a topological Poisson -model corresponding to a linear Poisson bracket. In \cite{To1}, Torossian discovered a connection w…
Pure Spinors on Lie groups
Anton Alekseev, Henrique Bursztyn, Eckhard Meinrenken
For any manifold M, the direct sum TM \oplus T*M carries a natural inner product given by the pairing of vectors and covectors. Differential forms on M may be viewed as spinors for…
On the Kashiwara-Vergne conjecture
A. Alekseev, E. Meinrenken
Let be a connected Lie group, with Lie algebra . In 1977, Duflo constructed a homomorphism of -modules , which restricts to an algebra isomorphism on i…
Invariant *-products on coadjoint orbits and the Shapovalov pairing
A. Alekseev, A. Lachowska
We give an explicit formula for invariant *-products on a wide class of coadjoint orbits. The answer is expressed in terms of the Shapovalov pairing for generalized Verma modules.
Linearization of Poisson actions and singular values of matrix products
Anton Alekseev, Eckhard Meinrenken, Chris Woodward
We prove that the linearization functor from the category of Hamiltonian K-actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian K-actio…
Representation Theory of Lattice Current Algebras
A. Yu. Alekseev, L. D. Faddeev, J. Fröhlich +1
Lattice current algebras were introduced as a regularization of the left- and right moving degrees of freedom in the WZNW model. They provide examples of lattice theories with a lo…