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

LI Xiao-chao, JIN Quan-qin

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

Chinese Quarterly Journal of Mathematics >

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

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

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

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

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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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

Cite this article

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

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

Abstract

Cite this article

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