Document Type
Book Chapter
Publication Title
Lecture Notes in Pure and Applied Mathematics
Abstract
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.
First Page
107
Last Page
119
DOI
https://doi.org/10.1201/9781420010763
Publication Date
2006
Department
Mathematics and Statistics
Recommended Citation
Feldvoss, Jörg. "Injective modules and prime ideals of universal enveloping algebras." Abelian Groups, Rings, Modules, and Homological Algebra, Lect. Notes Pure Appl. Math 249 (2006): 107-119.
Comments
This article is the pre-print version. The published version can be found in the book Abelian Groups, Rings, Modules, and Homological Algebra at this link: https://www.taylorfrancis.com/chapters/edit/10.1201/9781420010763-20/injective-modules-prime-ideals-universal-enveloping-algebras-jo%C2%A8rg-feldvoss, published in Lecture Notes in Pure and Applied Mathematics by Taylor and Francis Group publishers.
Please note there are several citations for this paper.
Book citation: Goeters, P., & Jenda, O.M.G. (Eds.). (2006). Abelian Groups, Rings, Modules, and Homological Algebra (1st ed.). Chapman and Hall/CRC. https://doi.org/10.1201/9781420010763
Article citation: Feldvoss, Jörg. "Injective modules and prime ideals of universal enveloping algebras." Abelian Groups, Rings, Modules, and Homological Algebra, Lect. Notes Pure Appl. Math 249 (2006): 107-119.