The Even Part of Finite-Dimensional Modular Lie Superalgebra Γ

IF 0.4 4区数学 Q4 MATHEMATICS

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

Yusi Fan, Xiaoning Xu, Liangyun Chen

引用次数: 0

Abstract

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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有限维模李超代数的偶部Γ

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。

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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来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.