4 papers
A criterion for associated bundles and the weak Beauville--Bogomolov decomposition
Yang Zhang
We give a criterion for a fibration to be an associated fibre bundle. As an application, we show that, under suitable singularity and Cartier-index assumptions, any surjective fibr…
Classification of irreducible unitary modules over
Mark D. Gould, Artem Pulemotov, Jorgen Rasmussen +1
We classify all irreducible highest-weight unitary modules over the non-compact real form of the general linear Lie superalgebra . The…
Einstein metrics on homogeneous superspaces
Yang Zhang, Mark D. Gould, Artem Pulemotov +1
This paper initiates the study of the Einstein equation on homogeneous supermanifolds. First, we produce explicit curvature formulas for graded Riemannian metrics on these spaces.…
Unitary branching rules for the general linear Lie superalgebra
Mark Gould, Yang Zhang
In terms of highest weights, we establish branching rules for finite dimensional unitary simple modules of the general linear Lie superalgebra . Our proof uses…