Tate-Shafarevich groups and algebras

2022/11/10 by Kunyavskii, Boris, Ostapenko, Vadim Z. · 1 citation
#17B40 17B56 20J06 22E60 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2211.05406

Abstract

The Tate-Shafarevich set of a group G defined by Takashi Ono coincides, in the case where G is finite, with the group of outer class-preserving automorphisms of G introduced by Burnside. We consider analogues of this important group-theoretic object for Lie algebras and associative algebras and establish some new structure properties thereof. We also discuss open problems and eventual generalizations to other algebraic structures.

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• Almost inner derivations of Lie superalgebras

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