Serre relations and Gröbner-shirshov bases for simple Lie algebras II

L. A. Bokut, A. A. Klein

Research output: Contribution to journalArticlepeer-review

Abstract

Gröbner-Shirshov bases for the Lie algebras Bn, Cn, Dn, abstractly defined by generators and the Serre relations for the corresponding Cartan matrices over a field of characteristic ≠ 2, 3, are constructed. As an application, we obtain that each of the previous algebras is isomorphic to a classical simple Lie algebra so2n+1(k), sp2n(k), so2nk respectively.

Original languageEnglish
Pages (from-to)401-412
Number of pages12
JournalInternational Journal of Algebra and Computation
Volume6
Issue number4
DOIs
StatePublished - Aug 1996

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