27 citations · 79 across the 7 of their papers we have counts for
4 papers · 1 filter
Generalized double extension and descriptions of qadratic Lie superalgebras
I. Bajo, S. Benayadi, M. Bordemann
A Lie superalgebra endowed with a supersymmetric, even, non-degenerate, invariant bilinear form is called a quadratic Lie superalgebra. In this paper we give inductive descriptions…
Noncommutative Riemann Surfaces
Joakim Arnlind, Martin Bordemann, Laurent Hofer +2
We introduce C-Algebras of compact Riemann surfaces as non-commutative analogues of the Poisson algebra of smooth functions on . Representations of these algebras give rise…
Goldfish geodesics and Hamiltonian reduction of matrix dynamics
Joakim Arnlind, Martin Bordemann, Jens Hoppe +1
We relate free vector dynamics to the eigenvalue motion of a time-dependent real-symmetric NxN matrix, and give a geodesic interpretation to Ruijsenaars Schneider models.
A homological approach to singular reduction in deformation quantization
Martin Bordemann, Hans-Christian Herbig, Markus J. Pflaum
We use the method of homological quantum reduction to construct a deformation quantization on singular symplectic quotients in the situation, where the coefficients of the moment m…