On R-matrix representations of Birman-Murakami-Wenzl algebras - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2005

On R-matrix representations of Birman-Murakami-Wenzl algebras

Résumé

We show that to every local representation of the Birman-Murakami-Wenzl algebra defined by a skew-invertible R-matrix $R\in Aut(V\otimes V)$ one can associate pairings $V\otimes V\to C$ and $V^*\otimes V^*\to C$, where V is the representation space. Further, we investigate conditions under which the corresponding quantum group is of SO or Sp type.

Dates et versions

hal-00473336 , version 1 (15-04-2010)

Identifiants

Citer

A. P. Isaev, O. V. Ogievetsky, P. N. Pyatov. On R-matrix representations of Birman-Murakami-Wenzl algebras. 2005. ⟨hal-00473336⟩
54 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More