Verma modules over a Block Lie algebra
| dc.creator | Jiang, Qifen | |
| dc.creator | Wu, Yuezhu | |
| dc.date | 2005-12-15 | |
| dc.date | 2006-02-15 | |
| dc.date.accessioned | 2026-07-07T06:55:19Z | |
| dc.date.available | 2026-07-07T06:55:19Z | |
| dc.description | Let B be the Lie algebra with basis {L_{i,j},C|i,j\in Z} and relations [L_{i,j},L_{k,l}]=((j+1)k-i(l+1))L_{i+k,j+l}+iδ_{i,-k}δ_{j+l,-2}C, [C,L_{i,j}]=0. It is proved that an irreducible highest weight B-module is quasifinite if and only if it is a proper quotient of a Verma module. For an additive subgroup G of the base field F, there corresponds to a Lie algebra B(G) of Block type. Given a totalorder \succ on G and a weight Λ, a Verma B(G)-module M(Λ,\succ) is defined. The irreducibility of M(Λ,\succ) is completely determined. | |
| dc.description | 7 pages. The previous version was posted by a mistake | |
| dc.identifier | https://arxiv.org/abs/math/0512351 | |
| dc.identifier | http://arxiv.org/abs/math/0512351 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106243 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B10; 17B65; 17B68 | |
| dc.title | Verma modules over a Block Lie algebra | |
| dc.type | text |