Supergrassmannians as Homogeneous Superspaces
Differential Geometry
2018-01-09 v1
Abstract
A homogeneous space is a manifold on which a Lie group acts transitively. Super generalization of this concept is also studied in [2] and [4]. In this paper we explicitly show that super Lie group GL(m|n) acts transitively on supergrassmannian G_{k|l}(m|n). In this regard, by using functor of point approach, this action is constructed by gluing local actions.
Cite
@article{arxiv.1801.02159,
title = {Supergrassmannians as Homogeneous Superspaces},
author = {Mohammad Mohammadi and Saad Varsaie},
journal= {arXiv preprint arXiv:1801.02159},
year = {2018}
}
Comments
23 pages