Cartan型李超代数H的导子代数

数学季刊 ›› 2008, Vol. 23 ›› Issue (3): 409-414.

Cartan型李超代数H的导子代数

1. Department of Mathematics,Henan Institute of Science and Technology 2. Department of Applied Mathematics,Dalian University of Technology

收稿日期:2005-03-25 出版日期:2008-09-30 发布日期:2023-09-22
作者简介:CHEN Yu-zhen(1981- ), female, native of Xuchang, Henan, an assistant of Henan Institute of Science and Technology, engages in modular Lie algebra and Lie superalgebra; WANG Ying(1967- ), female, native of Dalian, Liaoning, an associate professor of Dalian University of Technology, engages in modular Lie algebra and Lie superalgebra.
基金资助:
Supported by the Natural Science Foundation of the Henan Institute of Science and
Technology(06057)

The Derivation Algebra of the Cartan-type Lie Superalgebra H

1. Department of Mathematics,Henan Institute of Science and Technology 2. Department of Applied Mathematics,Dalian University of Technology

Received:2005-03-25 Online:2008-09-30 Published:2023-09-22
About author:CHEN Yu-zhen(1981- ), female, native of Xuchang, Henan, an assistant of Henan Institute of Science and Technology, engages in modular Lie algebra and Lie superalgebra; WANG Ying(1967- ), female, native of Dalian, Liaoning, an associate professor of Dalian University of Technology, engages in modular Lie algebra and Lie superalgebra.
Supported by:
Supported by the Natural Science Foundation of the Henan Institute of Science and
Technology(06057)

摘要/Abstract

摘要： In this paper, the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p ≥ 3 or m ≥ 2 or n ≥ 1. The main result is following: Der_FH = ad_H(H + Fh) ⊕ {(adD_i)^pt | i = 1,2,··· ,m, t = 1,2,··· ,t_i-1} .

关键词: Lie superalgebra, derivation algebra

Abstract: In this paper, the derivation algebra of Lie superalgebra H of Cartan-type over F are determined by the calculating method in the situations of CharF = p ≥ 3 or m ≥ 2 or n ≥ 1. The main result is following: Der_FH = ad_H(H + Fh) ⊕ {(adD_i)^pt | i = 1,2,··· ,m, t = 1,2,··· ,t_i-1} .

Key words: Lie superalgebra, derivation algebra

中图分类号:

O152.5

陈玉珍, 王颖, 马宝林. Cartan型李超代数H的导子代数[J]. 数学季刊, 2008, 23(3): 409-414.

CHEN Yu-zhen, WANG Ying , MA Bao-lin. The Derivation Algebra of the Cartan-type Lie Superalgebra H [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(3): 409-414.

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