幂零根基为Q2n+1的可解李代数及其Casimir不变量

doi:10.13371/j.cnki.chin.q.j.m.2017.01.011

数学季刊 ›› 2017, Vol. 32 ›› Issue (1): 99-110.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.011

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幂零根基为Q_2n+1的可解李代数及其Casimir不变量

Department of Mathematics,Huanghuai University . Department of Mathematics,Tongji University

收稿日期:2015-12-29 出版日期:2017-03-30 发布日期:2020-10-26
作者简介:LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra; JIN Quan-qin(1965-), male, native of Raoyang, Hebei, a professor of Tongji University, Ph.D., engages in Lie algebra.
基金资助:
Supported by the National Natural Science Foundation of China(11071187)； Supported by the Basic and Advanced Technology Research Project of Henan Province(142300410449)； Supported by the Natural Science Foundation of Education Department of Henan Province(16A110035)；

Solvable Lie Algebras with Nilradical \tilde{Q}_{2n+1} and Their Casimir Invariants

Department of Mathematics,Huanghuai University . Department of Mathematics,Tongji University

Received:2015-12-29 Online:2017-03-30 Published:2020-10-26
About author:LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra; JIN Quan-qin(1965-), male, native of Raoyang, Hebei, a professor of Tongji University, Ph.D., engages in Lie algebra.
Supported by:
Supported by the National Natural Science Foundation of China(11071187)； Supported by the Basic and Advanced Technology Research Project of Henan Province(142300410449)； Supported by the Natural Science Foundation of Education Department of Henan Province(16A110035)；

摘要/Abstract

摘要： The finite-dimensional indecomposable solvable Lie algebras s with Q_2n+1 as their nilradical are studied and classified and their Casimir invariants are calculated. It turns out that the dimension of s is at most dim Q_2n+1+2.

关键词: solvable Lie algebra, nilradical, Casimir invariant

Abstract: The finite-dimensional indecomposable solvable Lie algebras s with Q_2n+1 as their nilradical are studied and classified and their Casimir invariants are calculated. It turns out that the dimension of s is at most dim Q_2n+1+2.

Key words: solvable Lie algebra, nilradical, Casimir invariant

中图分类号:

O152.5

李小朝, 靳全勤. 幂零根基为Q_2n+1的可解李代数及其Casimir不变量[J]. 数学季刊, 2017, 32(1): 99-110.

LI Xiao-chao, JIN Quan-qin. Solvable Lie Algebras with Nilradical \tilde{Q}_{2n+1} and Their Casimir Invariants[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(1): 99-110.

幂零根基为Q_2n+1的可解李代数及其Casimir不变量

Department of Mathematics,Huanghuai University . Department of Mathematics,Tongji University

Solvable Lie Algebras with Nilradical \tilde{Q}_{2n+1} and Their Casimir Invariants

Department of Mathematics,Huanghuai University . Department of Mathematics,Tongji University

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