Invariants of contact Lie algebras

JOURNAL OF GEOMETRY AND PHYSICS

卷:144

Article

Salgado-Gonzalez, G.^1,2 

[1] UASLP, Fac Ciencias, Av Salvador Nava S-N, San Luis Potosi 78290, Slp, Mexico

[2] Ctr Invest Matemat, Guanajuato, Mexico

关键词: Contact Lie algebras;    Frobenius Lie algebras;    Invariants of Lie algebras;   

DOI  :  10.1016/j.geomphys.2019.06.014

来源: Elsevier

【 摘 要 】

The aim of this work is to prove that any contact Lie algebra has a semi-invariant. We explicitly compute it and give conditions for it to be an invariant of the contact Lie algebra. As a consequence we can prove that any perfect contact Lie algebra has trivial center. Moreover, we prove that a perfect Lie algebra is a contact Lie algebra if, and only if, it has only one invariant. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free