Infinite-dimensional Modular Lie Superalgebras W and S of Cartan Type-Reference-Cited by-同舟云学术

Infinite-dimensional Modular Lie Superalgebras W and S of Cartan Type

Published:2006-06 Issue:02 Volume:13 Page:197-210
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Zhang Yongzheng¹,Liu Wende²

Affiliation:

1. Department of Mathematics, Northeast Normal University, Changchun 130024, China

2. Department of Mathematics, Harbin Normal University, Harbin 150080, China

Abstract

The natural filtrations of infinite-dimensional modular Lie superalgebras W and S are proved to be invariant under their automorphism groups by means of investigating the ad-nilpotent elements and determining certain subalgebras generated by ad-nilpotent elements. As an application, we obtain an intrinsic characterization of W and S, and give a property of the automorphisms of these modular Lie superalgebras.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386706000204

Reference14 articles.

1. Classification of the restricted simple Lie algebras

2. ON THE CLASSIFICATION OF SIMPLE LIE ALGEBRAS OVER A FIELD OF NONZERO CHARACTERISTIC

3. DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED

4. Lie superalgebras

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