Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (1): 99-110.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.011

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

  

  1. 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);

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

CLC Number: