Group gradings on finitary simple Lie algebras

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.

Several typographical errors have been corrected

References in corpus (2)

• Classification of group gradings on simple Lie algebras of types A, B, C and D
• Group Gradings on Simple Lie Algebras of Type "A"

Cited by in corpus (2)

• Fine gradings and automorphism groups on associative algebras
• Gradings, Braidings, Representations, Paraparticles: some open problems