Module Extensions Over Classical Lie Superalgebras
| dc.creator | Letzter, E. S. | |
| dc.date | 1999-05-10 | |
| dc.date.accessioned | 2026-07-07T05:29:01Z | |
| dc.date.available | 2026-07-07T05:29:01Z | |
| dc.description | We study certain filtrations of indecomposable injective modules over classical Lie superalgebras, applying a general approach for noetherian rings developed by Brown, Jategaonkar, Lenagan, and Warfield. To indicate the consequences of our analysis, suppose that $g$ is a complex classical simple Lie superalgebra and that $E$ is an indecomposable injective $g$-module with nonzero (and so necessarily simple) socle $L$. (Recall that every essential extension of $L$, and in particular every nonsplit extension of $L$ by a simple module, can be formed from $g$-subfactors of $E$.) A direct transposition of the Lie algebra theory to this setting is impossible. However, we are able to present a finite upper bound, easily calculated and dependent only on $g$, for the number of isomorphism classes of simple highest weight $g$-modules appearing as $g$-subfactors of $E$. | |
| dc.description | 20 pages | |
| dc.identifier | https://arxiv.org/abs/math/9905057 | |
| dc.identifier | http://arxiv.org/abs/math/9905057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78478 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | Module Extensions Over Classical Lie Superalgebras | |
| dc.type | text |