@article{Mohammadi2022, 
author = {Mohammad Mohammadi and Saad Varsaie},
title = {On the construction of  Z2n−grassmannians as homogeneous  Z2n−spaces},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {1},
pages = {221-241},
keywords = {Z2n−Lie group, Homogeneous superspace, Z2n−manifold, Z2n− grassmannian},
url = {https://www.sciopen.com/article/10.3934/era.2022012},
doi = {10.3934/era.2022012},
abstract = {In this paper, we construct the  Z2n−grassmannians by gluing of the  Z2n−domains and give an explicit description of the action of the  Z2n−Lie group  GL(m→) on the  Z2n−grassmannian  Gk→(m→) in the functor of points language. In particular, we give a concrete proof of the transitively of this action, and the gluing of the local charts of the  Z2n−grassmannian.}
}