Unitarizablity of premodular categories
| dc.creator | Rowell, Eric C. | |
| dc.date | 2007-10-08 | |
| dc.date | 2007-11-08 | |
| dc.date.accessioned | 2026-07-07T09:32:35Z | |
| dc.date.available | 2026-07-07T09:32:35Z | |
| dc.description | We study the unitarizability of premodular categories constructed from representations of quantum group at roots of unity. We introduce \emph{Grothendieck unitarizability} as a natural generalization of unitarizability to any class of premodular categories with a common Grothendieck semiring. We obtain new results for quantum groups of Lie types $F_4$ and $G_2$, and improve the known results for Lie types $B$ and $C$. | |
| dc.description | Version 2: proof of conjecture provided by referee, now Theorem 3.8 is sharp. To appear in J. Pure Appl. Algebra | |
| dc.identifier | https://arxiv.org/abs/0710.1621 | |
| dc.identifier | http://arxiv.org/abs/0710.1621 | |
| dc.identifier | J. Pure Appl. Algebra, 212 no. 8 (2008) 1878-1887 | |
| dc.identifier | doi:10.1016/j.jpaa.2007.11.004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/158827 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37 (Primary); 18D10, 20G42 (Secondary) | |
| dc.title | Unitarizablity of premodular categories | |
| dc.type | text |