Induced 3-Lie algebras, superalgebras and induced representations

We construct 3-Lie superalgebras on a commutative superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Lie algebras and superalgebras by means of a representation of initial (binary) Lie algebra, trace and supertrace. We show that the induced rep...

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Bibliographic Details
Main Authors: Viktor Abramov, Priit Lätt
Format: Article
Language:English
Published: Estonian Academy Publishers 2020-04-01
Series:Proceedings of the Estonian Academy of Sciences
Subjects:
Online Access:http://www.kirj.ee/public/proceedings_pdf/2020/issue_2/proc-2020-2-116-133.pdf