10 citations · 20 across the 5 of their papers we have counts for
3 papers · 1 filter
Smooth *-algebras
Michel Dubois-Violette, Andreas Kriegl, Yoshiaki Maeda +1
Looking for the universal covering of the smooth non-commutative torus leads to a curve of associative multiplications on the space $\Cal O_M'(\Bbb R^{2n})\cong \Cal O_C(\Bbb R^{2n…
The Riemannian geometry of orbit spaces. The metric, geodesics, and integrable systems
Dmitry Alekseevsky, Andreas Kriegl, Mark Losik +1
We investigate the rudiments of Riemannian geometry on orbit spaces for isometric proper actions of Lie groups on Riemannian manifolds. Minimal geodesic arcs are length minim…
Extensions of super Lie algebras
Dmitri Alekseevsky, Peter W. Michor, Wolfgang Ruppert
We study (non-abelian) extensions of a given super Lie algebra, identify a cohomological obstruction to the existence, parallel to the known one for Lie algebras. An analogy to the…