Universal representations of Lie algebras by coderivations
表示论
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0303020,
title = {Universal representations of Lie algebras by coderivations},
author = {Emanuela Petracci},
journal= {arXiv preprint arXiv:math/0303020},
year = {2007}
}
备注
23 pages, LaTeX