一类特殊的无限维李代数的单性与同构

数学季刊 ›› 2013, Vol. 28 ›› Issue (4): 612-617.

一类特殊的无限维李代数的单性与同构

1. Department of Mathematics, Hunan Institute of Science and Technology2. Department of Mathematics and Computer Science, Jishou University

收稿日期:2012-07-17 出版日期:2013-12-30 发布日期:2023-02-20
作者简介:YU De-min(1975-), male, native of Yueyang, Hunan, an associate professor of Hunan Institute of Science and Technology, Ph.D., engages in Lie algebra; LI Ai-hua(1975-), male, native of Jishou, Hunan, an associate professor of Jishou university, Ph.D., engages in Lie algebra.
基金资助:
Supported by the National Department of Hunan Province(10JJ6013)

Simplicities and Automorphisms of a Special Inﬁnite Dimensional Lie Algebra

1. Department of Mathematics, Hunan Institute of Science and Technology2. Department of Mathematics and Computer Science, Jishou University

Received:2012-07-17 Online:2013-12-30 Published:2023-02-20
About author:YU De-min(1975-), male, native of Yueyang, Hunan, an associate professor of Hunan Institute of Science and Technology, Ph.D., engages in Lie algebra; LI Ai-hua(1975-), male, native of Jishou, Hunan, an associate professor of Jishou university, Ph.D., engages in Lie algebra.
Supported by:
Supported by the National Department of Hunan Province(10JJ6013)

摘要/Abstract

摘要： In this paper, a special innite dimensional Lie algebra is studied. The innite dimensional Lie algebra appears in the elds of conformal theory, mathematical physics, statistic mechanics and Hamilton operator. The innite dimensional Lie algebras is popularized Virasoro-like Lie algebra. Isomorphisms, homomorphisms, ideals of the innite dimensional Lie algebra are studied.

关键词: idea, isomorphism, homomorphism

Abstract: In this paper, a special innite dimensional Lie algebra is studied. The innite dimensional Lie algebra appears in the elds of conformal theory, mathematical physics, statistic mechanics and Hamilton operator. The innite dimensional Lie algebras is popularized Virasoro-like Lie algebra. Isomorphisms, homomorphisms, ideals of the innite dimensional Lie algebra are studied.

Key words: ideal, isomorphism, homomorphism

中图分类号:

O152.5

余德民, 李爱华. 一类特殊的无限维李代数的单性与同构[J]. 数学季刊, 2013, 28(4): 612-617.

YU De-min, LI Ai-hua. Simplicities and Automorphisms of a Special Inﬁnite Dimensional Lie Algebra[J]. Chinese Quarterly Journal of Mathematics, 2013, 28(4): 612-617.

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