Root-graded lie algebras with compatible grading

Authors
Citation
Y. Yoshii, Root-graded lie algebras with compatible grading, COMM ALGEB, 29(8), 2001, pp. 3365-3391
Citations number
9
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN ALGEBRA
ISSN journal
00927872 → ACNP
Volume
29
Issue
8
Year of publication
2001
Pages
3365 - 3391
Database
ISI
SICI code
0092-7872(2001)29:8<3365:RLAWCG>2.0.ZU;2-9
Abstract
Lie algebras graded by a finite irreducible reduced root system A will be g eneralized to predivision (Delta, G)-graded Lie algebras for an abelian gro up G. In this paper such algebras are classified, up to central extensions, when Delta = A(l) for l greater than or equal to 3, D or E, and G = Z(n).