The Super Lie Groups Associated to Odd Involutions
Differential Geometry
2019-01-23 v1
Abstract
A new generalization of Grassmannians in supergeometry, called Grassmannians, are constructed by gluing domains. By a domain, we mean a superdomain with an odd involution say on its structure sheaf, as morphism of modules. Then we show that Grassmannians are homogeneous superspaces. In addition, in the last section, a supergroup associated to the odd involution is introduced.
Keywords
Cite
@article{arxiv.1901.07395,
title = {The Super Lie Groups Associated to Odd Involutions},
author = {Mohammad Mohammadi and Saad Varsaie},
journal= {arXiv preprint arXiv:1901.07395},
year = {2019}
}
Comments
17 pages. arXiv admin note: text overlap with arXiv:1801.02159