8 papers
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…
Zero Energy States for SU(N): A Simple Exercise in Group Theory ?
M. Bordemann, J. Hoppe, R. Suter
We show that the requirement of invariance for a ``asymptotically free'' SU(3)-Cartan subalgebra wave-function does {\em not} give a unique candidate for a SU(3…
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…