6 papers · 1 filter
Solutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces
M. Bordemann, M. Walter
We show that for each semi-Riemannian locally symmetric space the curvature tensor gives rise to a rational solution of the classical Yang-Baxter equation with spectral paramet…
The deformation quantization of certain super-Poisson brackets and BRST cohomology
Martin Bordemann
On every split supermanifold equipped with the Rothstein even super-Poisson bracket we construct a deformation quantization by means of a Fedosov-type procedure. In other words, th…
Description de la structure de certaines superalgèbres de Lie quadratiques via la notion de -extension
Ignacio Bajo, Said Benayadi, Martin Bordemann
In this note we introduce the notion of extension of a Lie superalgebra , i.e. an extension of by its dual space ${\mathfrak…
On representations of star product algebras over cotangent spaces on Hermitian line bundles
Martin Bordemann, Nikolai Neumaier, Markus J. Pflaum +1
For every formal power series of closed two-forms on a manifold and every value of an ordering parameter we construct a concrete star produ…
Quantum integrable Toda like systems
Martin Bordemann, Martin Walter
Using deformation quantization and suitable 2 by 2 quantum -matrices we show that a list of Toda like classical integrable systems given by Y.B.Suris is quantum integrable in th…
A Remark on Formal KMS States in Deformation Quantization
Martin Bordemann, Hartmann Roemer, Stefan Waldmann
In the framework of deformation quantization we define formal KMS states on the deformed algebra of power series of functions with compact support in phase space as C[[λ]]-linear f…