Geometry of the analytic loop group - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2008

Geometry of the analytic loop group

Résumé

We introduce and study a notion of analytic loop group with a Riemann-Hilbert factorization relevant for the representation theory of quantum affine algebras at roots of unity with non trivial central charge. We introduce a Poisson structure and study properties of its Poisson dual group. We prove that the Hopf-Poisson structure is isomorphic to the semi-classical limit of the center of the quantum affine algebra (it is a geometric realization of the center). Then the symplectic leaves, and corresponding equivalence classes of central characters, are parameterized by certain G-bundles on an elliptic curve.

Dates et versions

hal-00348590 , version 1 (19-12-2008)

Identifiants

Citer

Corrado de Concini, David Hernandez, Nicolai Reshetikhin. Geometry of the analytic loop group. 2008. ⟨hal-00348590⟩
107 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More