数学季刊 >

2017 , Vol. 32 >Issue 1: 99 - 110

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.01.011

幂零根基为Q2n+1的可解李代数及其Casimir不变量

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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.

收稿日期: 2015-12-29

  网络出版日期: 2020-10-26

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)；

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

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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.

Received date: 2015-12-29

  Online published: 2020-10-26

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)；

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摘要

The finite-dimensional indecomposable solvable Lie algebras s with Q2n+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 Q2n+1+2. 

关键词： solvable Lie algebra; nilradical; Casimir invariant

本文引用格式

李小朝, 靳全勤 . 幂零根基为Q2n+1的可解李代数及其Casimir不变量[J]. 数学季刊, 2017 , 32(1) : 99 -110 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.01.011

Abstract

The finite-dimensional indecomposable solvable Lie algebras s with Q2n+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 Q2n+1+2. 

Key words： solvable Lie algebra; nilradical; Casimir invariant

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