Group Gradings on Simple Modular Lie Superalgebras of Cartan Type W and S

Abstract

This paper is devoted to the study of group gradings on simple modular Lie superalgebras of Cartan type W and S over an algebraically closed field of characteristic p > 3. We show that every grading on these simple modular Lie superalgebras by an abelian group without p-torsion is isomorphic to the standard grading.

Keywords

Modular Lie superalgebra of Cartan type / group grading / automorphism group / 17B50 / 17B70 / 17A36 / 17B40 / 17B20

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Peking University