On planar algebras arising from hypergroups
| dc.creator | Green, R. M. | |
| dc.date | 2002-09-18 | |
| dc.date.accessioned | 2026-07-07T04:50:58Z | |
| dc.date.available | 2026-07-07T04:50:58Z | |
| dc.description | Let $A$ be an associative algebra with identity and with trace. We study the family of planar algebras on 1-boxes that arise from $A$ in the work of Jones, but with the added assumption that the labels on the 1-boxes come from a discrete hypergroup in the sense of Sunder. This construction equips the algebra $P_n^A$ with a canonical basis, $\BB_n^A$, which turns out to be a ``tabular'' basis. We examine special cases of this construction to exhibit a close connection between such bases and Kazhdan--Lusztig bases of Hecke algebras of types $A$, $B$, $H$ or $I$. | |
| dc.description | AMSTeX, approx. 32 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/math/0209224 | |
| dc.identifier | http://arxiv.org/abs/math/0209224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64983 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 20C08 | |
| dc.title | On planar algebras arising from hypergroups | |
| dc.type | text |