Small semisimple subalgebras of semisimple Lie algebras
| dc.creator | Willenbring, Jeb F. | |
| dc.creator | Zuckerman, Gregg | |
| dc.date | 2004-08-23 | |
| dc.date.accessioned | 2026-07-07T06:32:57Z | |
| dc.date.available | 2026-07-07T06:32:57Z | |
| dc.description | The main goal of this paper is to prove the following theorem: Let $\frak k$ be an $\frak {sl}_2$-subalgebra of a semisimple Lie algebra $\frak g$, none of whose simple factors is of type $A1$. Then there exists a positive integer $b(\frak k, \frak g)$, such that for every irreducible finite dimensional $\frak g$-module $V$, there exists an injection of $\frak k$-modules $W \to V$, where $W$ is an irreducible $\frak k$-module of dimension less than $b(\frak k, \frak g)$. This result was announced in math.RT/0310140. | |
| dc.description | 16 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408302 | |
| dc.identifier | http://arxiv.org/abs/math/0408302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99032 | |
| dc.subject | Representation Theory | |
| dc.subject | 17B10; 20G05 | |
| dc.title | Small semisimple subalgebras of semisimple Lie algebras | |
| dc.type | text |