Arkady Onishchik
-
Action of vectorial Lie superalgebras on some split supermanifolds
cm:10455 -
Communications in Mathematics,
December 14, 2022,
Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
-
https://doi.org/10.46298/cm.10455
Action of vectorial Lie superalgebras on some split supermanifoldsArticle
Authors: Arkady Onishchik
NULL
Arkady Onishchik
The "curved" super Grassmannian is the supervariety of subsupervarieties of
purely odd dimension $k$ in a~supervariety of purely odd dimension $n$, unlike
the "usual" super Grassmannian which is the supervariety of linear
subsuperspacies of purely odd dimension $k$ in a~superspace of purely odd
dimension $n$. 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,