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arXiv · 2204.11036

Action of vectorial Lie superalgebras on some split supermanifolds

Arkady Onishchik
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Abstract

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,

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Arkady Onishchik. 2022-04-23. Action of vectorial Lie superalgebras on some split supermanifolds. https://doi.org/10.46298/cm.10455

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