BMW algebras of simply laced type
| dc.creator | Cohen, A. M. | |
| dc.creator | Gijsbers, D. A. H. | |
| dc.creator | Wales, D. B. | |
| dc.date | 2003-10-01 | |
| dc.date.accessioned | 2026-07-07T05:01:34Z | |
| dc.date.available | 2026-07-07T05:01:34Z | |
| dc.description | It is known that the recently discovered representations of the Artin groups of type A_n, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of type D_n and E_n which also lead to the newly found faithful representations of the Artin groups of the corresponding types. We establish finite dimensionality of these algebras. Moreover, they have ideals I_1 and I_2 with I_2 contained in I_1 such that the quotient with respect to I_1 is the Hecke algebra and I_1/I_2 is a module for the corresponding Artin group generalizing the Lawrence-Krammer representation. Finally we give conjectures on the structure, the dimension and parabolic subalgebras of the BMW algebra, as well as on a generalization of deformations to Brauer algebras for simply laced spherical type other than A_n. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0310011 | |
| dc.identifier | http://arxiv.org/abs/math/0310011 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68717 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | Representation Theory | |
| dc.subject | 20F36 (Primary) 16G10, 16A40 (Secondary) | |
| dc.title | BMW algebras of simply laced type | |
| dc.type | text |