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Universal representations of Lie algebras by coderivations

Emanuela Petracci

Published 2003-03-03Version 1

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 Poincare'-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.

Comments: 23 pages, LaTeX
Journal: Bull. Sci. math. 127 (2003), pp 439-465
Categories: math.RT
Subjects: 16S30, 16G30, 17B35, 17B65
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