Integrable and Weyl modules for quantum affine sl2
Vyjayanthi Chari, Andrew Pressley
Abstract
We study the universal integrable modules Wq(m) of level zero for quantum affine sl2 and a family of maximal finite--dimensional quotients of these modules. We show that these all have dimension 2m. Using this, we are able to realize Wq(m) as the space of invariants of a reprsentation of the Hecke algebra Hm. We also give a conjecture in the general case.
Create a lesson
Related papers
The Haagerup VOA at c=8
Andrew Riesen
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Facets of nondegeneracy: central type factor groups, Heisenberg representations and Hadamard matrices
Pierre Bieliavsky, Victor Gayral, Sergey Neshveyev et al.
Triangular prism equations for near-group categories: algebraic solutions and a unitary conjecture
Huixuan He, Zhengwei Liu, Fan Lu et al.
Chiral Extensions of Cotangent Yangian
Keyou Zeng
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger et al.