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ISSN 1088-6826(e) ISSN 0002-9939(p)

Group gradings on simple Lie algebras in positive characteristic

Author(s): Yuri Bahturin; Mikhail Kochetov; Susan Montgomery
Journal: Proc. Amer. Math. Soc. 137 (2009), 1245-1254.
MSC (2000): Primary 16W10, 16W50, 17B50, 17B70
Posted: October 20, 2008
MathSciNet review: 2465646
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Abstract | References | Similar articles | Additional information

Abstract: In this paper we describe all gradings by a finite abelian group on the following Lie algebras over an algebraically closed field of characteristic $p\neq 2$ : $\mathfrak{sl} _n(F)$ ( not divisible by ), $\mathfrak{so}_n(F)$ ( $n\geq 5$ , $n\neq 8$ ) and $\mathfrak{sp} _n(F)$ ( $n\geq 6$ , even).

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Additional Information:

Yuri Bahturin
Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C5S7, Canada
Email: yuri@math.mun.ca

Mikhail Kochetov
Affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NL, A1C5S7, Canada
Email: mikhail@math.mun.ca

Susan Montgomery
Affiliation: Department of Mathematics, University of Southern California, 3620 South Vermont Avenue, KAP 108, Los Angeles, California 90089-2532
Email: smontgom@math.usc.edu

DOI: 10.1090/S0002-9939-08-09634-2
PII: S 0002-9939(08)09634-2
Received by editor(s): July 5, 2007,
Received by editor(s) in revised form: February 8, 2008, and, April 21, 2008
Posted: October 20, 2008
Additional Notes: The first author was partially supported by NSERC grant \# 227060-04 and by a URP grant, Memorial University of Newfoundland.
The second author was supported by a Start-up Grant, Memorial University of Newfoundland.
The third author was supported by NSF grant DMS 0401399.
Communicated by: Birge Huisgen-Zimmermann
Copyright of article: Copyright 2008, American Mathematical Society

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