Quantum groups and representations with highest weight
| dc.creator | Bernstein, Joseph | |
| dc.creator | Khovanova, Tanya | |
| dc.date | 1997-04-08 | |
| dc.date.accessioned | 2026-07-07T09:17:32Z | |
| dc.date.available | 2026-07-07T09:17:32Z | |
| dc.description | We consider a special category of Hopf algebras, depending on parameters $Σ$ which possess properties similar to the category of representations of simple Lie group with highest weight $λ$. We connect quantum groups to minimal objects in this categories---they correspond to irreducible representations in the category of representations with highest weight $λ$. Moreover, we want to correspond quantum groups only to finite dimensional irreducible representations. This gives us a condition for $λ$: $λ$--- is dominant means the minimal object in the category of representations with highest weight $λ$ is finite dimensional. We put similar condition for $Σ$. We call $Σ$ dominant if the minimal object in corresponding category has polynomial growth. Now we propose to define quantum groups starting from dominant parameters $Σ$. | |
| dc.description | 6 pages, AmsTeX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9704007 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9704007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153702 | |
| dc.subject | Quantum Algebra | |
| dc.title | Quantum groups and representations with highest weight | |
| dc.type | text |