Injective hulls of simple $\mathrm {sl}(2, \mathcal {C})$ modules are locally Artinian
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- by Randall P. Dahlberg PDF
- Proc. Amer. Math. Soc. 107 (1989), 35-37 Request permission
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
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 107 (1989), 35-37
- MSC: Primary 17B35
- DOI: https://doi.org/10.1090/S0002-9939-1989-0965241-9
- MathSciNet review: 965241