Universal representations of Lie algebras by coderivations

Details Universal representations of Lie algebras by coderivations Universal representations of Lie algebras by coderivations

2003-03-03

arxiv.org/abs/math/0303020v1

Bull. Sci. math. 127 (2003), pp 439-465

Mathematics

Representation Theory

23 pages, LaTeX

Scientific paper

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.

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