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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2010 Volume 16, Issue 8, Pages 163–187 (Mi fpm1381)

This article is cited in 1 paper

Finite gradings of special linear Lie algebras

A. A. Zolotykh, P. A. Zolotykh

M. V. Lomonosov Moscow State University

Abstract: In this paper, we study gradings of simple classical Lie algebras with arbitrary Abelian groups and the interconnection of such gradings and automorphism groups of Lie algebras. We give the complete classification of gradings of special linear Lie algebras that are specified by inner automorphisms in the case of an algebraically closed field of zero characteristic.

UDC: 512.554.37


 English version:
Journal of Mathematical Sciences (New York), 2012, 185:2, 282–299

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