Modified Affine Hecke Algebras and Drinfeldians of Type A - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 1999

Modified Affine Hecke Algebras and Drinfeldians of Type A

Résumé

We introduce a modified affine Hecke algebra $\h{H}^{+}_{q\eta}({l})$ ($\h{H}_{q\eta}({l})$) which depends on two deformation parameters $q$ and $\eta$. When the parameter $\eta$ is equal to zero the algebra $\h{H}_{q\eta=0}(l)$ coincides with the usual affine Hecke algebra $\h{H}_{q}(l)$ of type $A_{l-1}$, if the parameter q goes to 1 the algebra $\h{H}^{+}_{q=1\eta}(l)$ is isomorphic to the degenerate affine Hecke algebra $\Lm_{\eta}(l)$ introduced by Drinfeld. We construct a functor from a category of representations of $H_{q\eta}^{+}(l)$ into a category of representations of Drinfeldian $D_{q\eta}(sl(n+1))$ which has been introduced by the first author.

Dates et versions

hal-00473326 , version 1 (15-04-2010)

Identifiants

Citer

V. N. Tolstoy, O. V. Ogievetsky, P. N. Pyatov, A. P. Isaev. Modified Affine Hecke Algebras and Drinfeldians of Type A. 1999. ⟨hal-00473326⟩
175 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More