Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Injective hulls of simple $ \mathrm{sl}(2, \mathcal{C})$ modules are locally Artinian

Author: Randall P. Dahlberg
Journal: Proc. Amer. Math. Soc. 107 (1989), 35-37
MSC: Primary 17B35
MathSciNet review: 965241
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $ L$ denote the simple Lie algebra $ {\text{sl(2,}}{\mathbf{C}}{\text{)}}$ over the complex numbers $ {\mathbf{C}}$. For any simple $ L$-modules $ S$, considered as a left unital module over the universal enveloping algebra of $ L,U(L)$, the injective hull of $ S,{E_L}(S)$, is a locally Artinian $ U(L)$-module.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 17B35

Retrieve articles in all journals with MSC: 17B35

Additional Information

PII: S 0002-9939(1989)0965241-9
Article copyright: © Copyright 1989 American Mathematical Society