Group Gradings on Filiform Lie Algebras
Yuri BahturinDepartment of Mathematics and Statistics Memorial University of Newfoundland St. Johns , Newfoundland , CanadaMichel GozeUniversité de Haute Alsace , LMIA , Mulhouse , FranceElisabeth RemmUniversité de Haute Alsace , LMIA , Mulhouse , France
2015en
ABI
Abstract
We classify, up to isomorphism, gradings by abelian groups on nilpotent filiform Lie algebras of nonzero rank over an algebraically closed field of characteristic 0. In case of rank 0, we describe conditions to obtain non trivial ℤ k -gradings.
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Cited by 10 references