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5 papers · 1 filter
Canonical bases of loop algebras via quot schemes II
Olivier Schiffmann
This paper is a sequel (and contains a better treatment) of math.QA/0404032; We construct some canonical bases for quantum toroidal algebras of types D_4, E_6, E_7, E_8 using perve…
Canonical bases of loop algebras via Quot schemes, I
Olivier Schiffmann
We propose a construction of some canonical bases for quantum loop algebras of Kac-Moody algebras. We consider a smooth projective curve X, a group of automorphism G of X such that…
Representations of Quantum Affinizations and Fusion Product
David Hernandez
In this paper we study general quantum affinizations $\U_q(\hat{\Glie})$ of symmetrizable quantum Kac-Moody algebras and we develop their representation theory. We prove a triangul…
Double categories and quantum groupoids
Nicolas Andruskiewitsch, Sonia Natale
We give the construction of a class of weak Hopf algebras (or quantum groupoids) associated to a matched pair of groupoids and certain cocycle data. This generalizes a now well-kno…
Algebraic Approach to q,t-Characters
David Hernandez
Frenkel and Reshetikhin introduced q-characters to study finite dimensional representations of quantum affine algebras. In the simply laced case Nakajima defined deformations of q-…