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arXiv · 0704.3127

The existence of superinvolutions

Alberto Elduque·Oliver Villa
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Abstract

Superinvolutions on graded associative algebras constitute a source of Lie and Jordan superalgebras. Graded versions of the classical Albert and Albert-Riehm Theorems on the existence of superinvolutions are proven. Surprisingly, the existence of superinvolutions of the first kind is a rare phenomenon, as nontrivial central division superalgebras are never endowed with this kind of superinvolutions.

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Alberto Elduque, Oliver Villa. 2007-04-24. The existence of superinvolutions. https://arxiv.org/abs/0704.3127

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