Abstract

We examine embeddings of an important class of Levi decomposable algebras into the classical Lie algebras. In particular, we classify the embeddings of An▪Cn+1, Bn▪C2n+1, Cn▪C2n, and Dn▪C2n into the complex simple Lie algebras An+1, Bn+1, Cn+1, and Dn+1, respectively, up to inner automorphism.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.