Derivations of finite-dimensional modular Lie superalgebras K(n, m)

被引：0

作者：

Mao, Dan ^{[1
,2
]}

Zheng, Keli ^{[1
]}

机构：

[1] Northeast Forestry Univ, Sch Sci, Dept Math, Harbin 150040, Peoples R China

[2] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

ELECTRONIC RESEARCH ARCHIVE | 2023年 / 31卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Lie superalgebra; modular Lie superalgebra; derivation superalgebra; associative superalgebra; contact type; CARTAN-TYPE;

D O I：

10.3934/era.2023217

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is aimed at determining the derivation superalgebra of modular Lie superalgebra K(n, m). To that end, we first describe the Z-homogeneous derivations of K(n, m). Then we obtain the derivation superalgebra Der(K). Finally, we partly determine the derivation superalgebra Der(K) by virtue of the invariance of K(n, m) under Der(K).

引用

页码：4266 / 4277

页数：12

共 50 条

[1] Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K(n, m)
Mao, Dan
Zheng, Keli
[J]. JOURNAL OF MATHEMATICS, 2021, 2021
[2] Derivations of the Even Part of Finite-Dimensional Simple Modular Lie Superalgebra M
Lili MA
Liangyun CHEN
[J]. Chinese Annals of Mathematics(Series B), 2015, 36 (02) : 279 - 292
[3] Derivations of the Even Part of Finite-Dimensional Simple Modular Lie Superalgebra M
Ma, Lili
Chen, Liangyun
[J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (02) : 279 - 292
[4] δ-derivations of simple finite-dimensional Jordan superalgebras
Kaygorodov, N. B.
[J]. ALGEBRA AND LOGIC, 2007, 46 (05) : 318 - 329
[5] δ-Derivations of simple finite-dimensional Jordan superalgebras
N. B. Kaygorodov
[J]. Algebra and Logic, 2007, 46 : 318 - 329
[6] THE NATURAL FILTRATIONS OF FINITE-DIMENSIONAL MODULAR LIE SUPERALGEBRAS OF WITT AND HAMILTONIAN TYPE
Zheng, Keli
Zhang, Yongzheng
Song, Wei
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2014, 269 (01) : 199 - 218
[7] On codimension growth of finite-dimensional Lie superalgebras
Giambruno, Antonio
Zaicev, Mikhail
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2012, 85 : 534 - 548
[8] Finite-dimensional representations of periplectic Lie superalgebras
Chen, Chih-Whi
[J]. JOURNAL OF ALGEBRA, 2015, 443 : 99 - 125
[9] Local derivations on finite-dimensional Lie algebras
Ayupov, Shavkat
Kudaybergenov, Karimbergen
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2016, 493 : 381 - 398
[10] The outer derivation algebras of finite-dimensional Cartan-type modular Lie superalgebras
Liu, WD
Zhang, YZ
[J]. COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) : 2131 - 2146

← 1 2 3 4 5 →