35 citations · 41 across the 4 of their papers we have counts for
11 papers
Slices for lifted tangent and cotangent actions
Johannes Huebschmann
Given a Lie group G, a G-manifold M, and a point b of M with compact stabilizer, we construct slices for the lifted tangent and cotangent actions at a pre-image of b in terms of a…
Lie-Rinehart algebras, descent, and quantization
Johannes Huebschmann
A Lie-Rinehart algebra consists of a commutative algebra and a Lie algebra with additional structure which generalizes the mutual structure of interaction between the algebra of fu…
On the cohomology of the holomorph of a finite cyclic group
Johannes Huebschmann
The mod 2 cohomology algebra of the holomorph of any finite cyclic group whose order is a power of 2 is determined.
Severi varieties and holomorphic nilpotent orbits
Johannes Huebschmann
Each of the four critical Severi varieties arises from a minimal holomorphic nilpotent orbit in a simple regular rank 3 hermitian Lie algebra and each such variety lies as singular…
Kaehler spaces, nilpotent orbits, and singular reduction
Johannes Huebschmann
For a stratified symplectic space, a suitable concept of stratified Kaehler polarization, defined in terms of an appropriate Lie-Rinehart algebra, encapsulates Kaehler polarization…
Singularities and Poisson geometry of certain representation spaces
Johannes Huebschmann
Playing off against each other the real and complex structures, we elucidate the local structure of certain representation spaces in the world of Poisson geometry. Particular cases…