The Natural Filtration of Finite Dimensional Modular Lie Superalgebras of Special Type

This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.

Bibliographic Details
Main Authors: Keli Zheng, Yongzheng Zhang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/891241
Description
Summary:This paper is concerned with the natural filtration of Lie superalgebra S(n,m) of special type over a field of prime characteristic. We first construct the modular Lie superalgebra S(n,m). Then we prove that the natural filtration of S(n,m) is invariant under its automorphisms.
ISSN:1085-3375
1687-0409