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math.RA2011★ 4 cited
Weyl groups of fine gradings on simple Lie algebras of types A, B, C and D
Alberto Elduque, Mikhail Kochetov
Given a grading on a nonassociative algebra by an abelian group, we have two subgroups of automorphisms attached to it: the automorphisms that stabilize each homogeneous component…
math.RA2011★ 11 cited
Group gradings on finitary simple Lie algebras
Yuri Bahturin, Matej Brešar, Mikhail Kochetov
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…