Arkady Onishchik
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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)
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https://doi.org/10.46298/cm.10455Action of vectorial Lie superalgebras on some split supermanifoldsArticle
Authors: Arkady Onishchik
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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,
Comment: 8pp
Volume: Volume 30 (2022), Issue 3 (Special issue: in memory of Arkady Onishchik)
Published on: December 14, 2022
Accepted on: December 11, 2022
Submitted on: December 11, 2022
Keywords: Mathematical Physics, Mathematics - Representation Theory, Primary 17A70, 17B20, 17B70, Secondary 70F25