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Group gradings on finitary simple Lie algebras

Published 14 Jun 2011 in math.RA | (1106.2638v2)

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.

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