eng
episciences.org
Communications in Mathematics
1804-1388
2336-1298
2022-12-14
Volume 30 (2022), Issue 3...
10.46298/cm.10455
10455
journal article
Action of vectorial Lie superalgebras on some split supermanifolds
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,
https://cm.episciences.org/10455/pdf
Mathematical Physics
Mathematics - Representation Theory
Primary 17A70, 17B20, 17B70, Secondary 70F25