GROBNER-SHIRSHOV BASES FOR EXCEPTIONAL LIE-ALGEBRAS I

Authors
BORKUT LA KLEIN AA
Citation
La. Borkut et Aa. Klein, GROBNER-SHIRSHOV BASES FOR EXCEPTIONAL LIE-ALGEBRAS I, Journal of pure and applied algebra, 133(1-2), 1998, pp. 51-57
Citations number
3
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Journal of pure and applied algebra → ACNP
ISSN journal
00224049
Volume
133
Issue
1-2
Year of publication
1998
Pages
51 - 57
Database
ISI
SICI code
0022-4049(1998)133:1-2<51:GBFELI>2.0.ZU;2-Z
Abstract
Grobner-Shirshov bases for the exceptional Lie algebras G(2) and F-4, abstractly defined by generators and the Serre relations for the corre sponding Cartan matrices over a held of characteristic not equal 2,3, are constructed. As an application, we obtain for G(2) and F-4 linear bases of Lyndon-Shirshov words in the generators. The calculation of t he multiplication tables in terms of the constructed linear bases migh t be another application. (C) 1998 Elsevier Science B.V. All rights re served.