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arXiv · 1106.2638

Group gradings on finitary simple Lie algebras

Yuri Bahturin·Matej Brešar·Mikhail Kochetov
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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.

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Yuri Bahturin, Matej Brešar, Mikhail Kochetov. 2012-11-30. Group gradings on finitary simple Lie algebras. https://doi.org/10.1142/s0218196712500464

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