Cyclotomic Nazarov-Wenzl algebras
| dc.creator | Ariki, Susumu | |
| dc.creator | Mathas, Andrew | |
| dc.creator | Rui, Hebing | |
| dc.date | 2005-06-23 | |
| dc.date | 2006-07-13 | |
| dc.date.accessioned | 2026-07-07T06:42:30Z | |
| dc.date.available | 2026-07-07T06:42:30Z | |
| dc.description | Nazarov \cite{Nazarov:brauer} introduced an infinite dimensional algebra, which he called the \textit{affine Wenzl algebra}, in his study of the Brauer algebras. In this paper we study certain ``cyclotomic quotients'' of these algebras. We construct the irreducible representations of these algebras in the generic case and use this to show that these algebras are free of rank $r^n(2n-1)!!$ (when $Ω$ is $\bu$--admissible). We next show that these algebras are cellular and give a labelling for the simple modules of the cyclotomic Nazarov--Wenzl algebras over an arbitrary field. In particular, this gives a construction of all of the finite dimensional irreducible modules of the affine Weyl algebra (when $Ω$ is admissible). | |
| dc.description | 58 pages, revised version | |
| dc.identifier | https://arxiv.org/abs/math/0506467 | |
| dc.identifier | http://arxiv.org/abs/math/0506467 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102065 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.title | Cyclotomic Nazarov-Wenzl algebras | |
| dc.type | text |