Gröbner-Shirshov bases for exceptional lie algebras I

L. A. Borkut*, A. A. Klein

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

Gröbner-Shirshov bases for the exceptional Lie algebras G2 and F4, 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 for G2 and F4, linear bases of Lyndon-Shirshov words in the generators. The calculation of the multiplication tables in terms of the constructed linear bases might be another application.

Original languageEnglish
Pages (from-to)51-57
Number of pages7
JournalJournal of Pure and Applied Algebra
Volume133
Issue number1-2
DOIs
StatePublished - 15 Dec 1998

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