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Self-commuting cone for basic classical and strange Lie superalgebras. (Sur l’idéal du cône autocommutant des super algèbres de Lie basiques classiques et étranges.) (French) Zbl 1063.17011

Summary: In this paper, we show that the cone of the odd part of a basic classical or strange Lie superalgebra which is defined by the equations \([X,X]=0\) is reduced.

MSC:

17B35 Universal enveloping (super)algebras
14L30 Group actions on varieties or schemes (quotients)
20G05 Representation theory for linear algebraic groups
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