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GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 11 Jul 2012Embargo end date: 01 Jan 2011Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Algebra and Computation, volume 22, page 1,250,046 (issn: 0218-1967, eissn: 1793-6500,

Authors: Mikhail Kochetov; Yuri Bahturin; Matej Brešar; Matej Brešar;

doi: 10.1142/s0218196712500464 , 10.48550/arxiv.1106.2638

arXiv: http://arxiv.org/abs/1106.2638

GROUP GRADINGS ON FINITARY SIMPLE LIE ALGEBRAS

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Abstract

We classify, up to isomorphism, all gradings by an arbitrary abelian group on simple finitary Lie algebras of linear transformations (special linear, orthogonal and symplectic) on infinite-dimensional vector spaces over an algebraically closed field of characteristic different from 2.

Related Organizations

University of Ljubljana
Slovenia
Memorial University of Newfoundland
Canada
University of Maribor
Slovenia

Keywords

Rings and Algebras (math.RA), FOS: Mathematics, 17B70 (Primary) 16R60, 16W50, 17B60 (Secondary), Mathematics - Rings and Algebras

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