The classification of modular Lie superalgebras of type M-Reference-Cited by-同舟云学术

The classification of modular Lie superalgebras of type M

Published:2015-03-04 Issue:1 Volume:13 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:
Short-container-title:

Author:

Ma Lili¹,Chen Liangyun²

Affiliation:

1. 1School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China, and School of Science, Qiqihar University, Qiqihar 161006, China

2. 2School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China

Abstract

AbstractThe natural filtration of the infinite-dimensional simple modular Lie superalgebra M over a field of characteristic p > 2 is proved to be invariant under automorphisms by discussing ad-nilpotent elements. Moreover, an intrinsic property is obtained and all the infinite-dimensional simple modular Lie superalgebras M are classified up to isomorphisms. As an application, a property of automorphisms of M is given.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2015-0025/pdf

Reference14 articles.

1. Fitration automorphisms and classification of the infinite dimensional odd Contact superalgebras;Yuan;Front Math China,2013

2. Finite - dimensional Hamiltonian Lie superalgebras;Zhang;Comm Algebra,2002

3. Finite dimensional Lie superalgebras and of Cartan type;Zhang;Chin Adv Math,1998

4. On the modular Lie superalgebra;Xu;Pure Appl Algebra,2011

5. Graded Lie algebras of finite characteristic;Kostrikin;Math USSR Izv,1969

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m;Journal of Mathematics;2021-09-28