Injective Modules and Prime Ideals of Universal Enveloping Algebras

Details Injective Modules and Prime Ideals of Universal Enveloping Algebras Injective Modules and Prime Ideals of Universal Enveloping Algebras

2005-04-26

arxiv.org/abs/math/0504539v3

Abelian Groups, Rings, Modules, and Homological Algebra, Auburn, AL, 2004 (eds. P. Goeters and O. M. G. Jenda), Lecture Notes

Mathematics

Representation Theory

13 pages, typos corrected

Scientific paper

In this paper we study injective modules over universal enveloping algebras of finite-dimensional Lie algebras over fields of arbitrary characteristic. Most of our results are dealing with fields of prime characteristic but we also elaborate on some of their analogues for solvable Lie algebras over fields of characteristic zero. It turns out that analogous results in both cases are often quite similar and resemble those familiar from commutative ring theory.

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