有限维模李超代数的偶部Γ

Pub Date : 2021-09-01 DOI:10.1142/S1005386721000377

Yusi Fan, Xiaoning Xu, Liangyun Chen

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引用次数: 0

摘要

设[公式:见文]为特征[公式:见文]的底层基域，并用[公式:见文]表示有限维李超代数[公式:见文]的偶部。我们给出了李代数的生成集[公式:见文本]。利用正则环面[公式:见文]的某些性质，我们显式地描述了[公式:见文]的推导代数。

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The Even Part of Finite-Dimensional Modular Lie Superalgebra Γ

Let [Formula: see text] be the underlying base field of characteristic [Formula: see text] and denote by [Formula: see text] the even part of the finite-dimensional Lie superalgebra [Formula: see text]. We give the generator sets of the Lie algebra [Formula: see text]. Using certain properties of the canonical tori of [Formula: see text], we describe explicitly the derivation algebra of [Formula: see text].

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