Specht modules and semisimplicity criteria for Brauer and Birman--Murakami--Wenzl Algebras
| dc.creator | Enyang, John | |
| dc.date | 2007-05-29 | |
| dc.date.accessioned | 2026-07-07T08:03:27Z | |
| dc.date.available | 2026-07-07T08:03:27Z | |
| dc.description | A construction of bases for cell modules of the Birman--Murakami--Wenzl (or B--M--W) algebra $B_n(q,r)$ by lifting bases for cell modules of $B_{n-1}(q,r)$ is given. By iterating this procedure, we produce cellular bases for B--M--W algebras on which a large abelian subalgebra, generated by elements which generalise the Jucys--Murphy elements from the representation theory of the Iwahori--Hecke algebra of the symmetric group, acts triangularly. The triangular action of this abelian subalgebra is used to provide explicit criteria, in terms of the defining parameters $q$ and $r$, for B--M--W algebras to be semisimple. The aforementioned constructions provide generalisations, to the algebras under consideration here, of certain results from the Specht module theory of the Iwahori--Hecke algebra of the symmetric group. | |
| dc.identifier | https://arxiv.org/abs/0705.4142 | |
| dc.identifier | http://arxiv.org/abs/0705.4142 | |
| dc.identifier | doi:10.1007/s10801-007-0058-3 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129586 | |
| dc.subject | Representation Theory | |
| dc.title | Specht modules and semisimplicity criteria for Brauer and Birman--Murakami--Wenzl Algebras | |
| dc.type | text |