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Group gradings on simple Lie algebras in positive characteristic.
- Source :
-
Proceedings of the American Mathematical Society . Sep2008, Vol. 137 Issue 4, p1245-1254. 10p. - Publication Year :
- 2008
-
Abstract
- In this paper we describe all gradings by a finite abelian group $G$ on the following Lie algebras over an algebraically closed field $F$ of characteristic $pneq 2$: $mathfrak {sl}_n(F)$ ($n$ not divisible by $p$), $mathfrak {so}_n(F)$ ($ngeq 5$, $nneq 8$) and $mathfrak {sp}_n(F)$ ($ngeq 6$, $n$ even). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 137
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 35826898
- Full Text :
- https://doi.org/10.1090/S0002-9939-08-09634-2