向量李超代数对某些分裂超流形的作用

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-04-23 DOI:10.46298/cm.10455

A. Onishchik

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引用次数: 1

摘要

“弯曲的”超格拉斯曼年是纯奇维$k$的子超变种在纯奇维$n$的超变种，不同于“通常的”超格拉斯曼年是纯奇维$k$的线性子超变种在纯奇维$n$的超变种。所有和哈密顿向量场在叠加点上的李超代数被实现为某些“弯曲的”超格拉斯曼群的结构束的导数的李超代数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Action of vectorial Lie superalgebras on some split supermanifolds

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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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.