3 papers
math.AG2026
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…
math.RT2026
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…
math-ph2025
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.…