Injective Modules and Prime Ideals of Universal Enveloping Algebras
Abstract
Description
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.
13 pages, typos corrected
13 pages, typos corrected
Citation
Consulte el texto completo en el siguiente enlace:
https://arxiv.org/abs/math/0504539
http://arxiv.org/abs/math/0504539
Abelian Groups, Rings, Modules, and Homological Algebra, Auburn, AL, 2004 (eds. P. Goeters and O. M. G. Jenda), Lecture Notes in Pure and Applied Mathematics, vol. 249, Chapman & Hall/CRC, Boca Raton/London/New York, 2006, pp. 107-119
http://arxiv.org/abs/math/0504539
Abelian Groups, Rings, Modules, and Homological Algebra, Auburn, AL, 2004 (eds. P. Goeters and O. M. G. Jenda), Lecture Notes in Pure and Applied Mathematics, vol. 249, Chapman & Hall/CRC, Boca Raton/London/New York, 2006, pp. 107-119