Action of vectorial Lie superalgebras on some split supermanifolds
Mathematical Physics
2023-06-22 v2 math.MP
Representation Theory
Abstract
The "curved" super Grassmannian is the supervariety of subsupervarieties of purely odd dimension in a~supervariety of purely odd dimension , unlike the "usual" super Grassmannian which is the supervariety of linear subsuperspacies of purely odd dimension in a~superspace of purely odd dimension . The Lie superalgebras of all and Hamiltonian vector fields on the superpoint are realized as Lie superalgebras of derivations of the structure sheaves of certain "curved" super Grassmannians,
Keywords
Cite
@article{arxiv.2204.11036,
title = {Action of vectorial Lie superalgebras on some split supermanifolds},
author = {Arkady Onishchik},
journal= {arXiv preprint arXiv:2204.11036},
year = {2023}
}
Comments
8pp