Commutative quotients of finite W-algebras
| dc.creator | Premet, Alexander | |
| dc.date | 2008-09-03 | |
| dc.date | 2008-09-15 | |
| dc.date.accessioned | 2026-07-07T10:02:28Z | |
| dc.date.available | 2026-07-07T10:02:28Z | |
| dc.description | Let U(g,e) be the finite W-algebra associated with a nilpotent element e in a simple Lie algebra g and assume that e is induced from a nilpotent element e_0 in a Levi subalgebra l of g. We show that if the finite W-algebra U(l,e_0) has a 1-dimensional representation, then so does U(g,e). For g classical (and in may other cases), we compute the Krull dimension of the largest commutative quotient of U(g,e). Some applications to representation theory of modular counterparts of g are given. | |
| dc.description | 35 pages; one subsection added, some typos corrcted | |
| dc.identifier | https://arxiv.org/abs/0809.0663 | |
| dc.identifier | http://arxiv.org/abs/0809.0663 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168986 | |
| dc.subject | Representation Theory | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B45; 17B35 | |
| dc.title | Commutative quotients of finite W-algebras | |
| dc.type | text |