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Universal representations of Lie algebras by coderivations

✍ Scribed by Emanuela Petracci

Book ID
104106235
Publisher
Elsevier Science
Year
2003
Tongue
French
Weight
228 KB
Volume
127
Category
Article
ISSN
0007-4497

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✦ Synopsis

A class of representations of a Lie superalgebra (over a commutative superring) in its symmetric algebra is studied. As an application we get a direct and natural proof of a strong form of the PoincarΓ©-Birkhoff-Witt theorem, extending this theorem to a class of nilpotent Lie superalgebras. Other applications are presented. Our results are new already for Lie algebras.

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