Perverse sheaves and quantum Grothendieck rings
Quantum Algebra
2007-05-23 v3
Abstract
We define a quantum analogue of the Grothendieck ring of finite dimensional modules of a quantum affine algebra of simply laced type. The construction is based on perverse sheaves on a variety related to quivers. We get also a new geometric construction of the tensor category of finite dimensional modules of a finite dimensional simple Lie algebra of type A-D-E.
Cite
@article{arxiv.math/0103182,
title = {Perverse sheaves and quantum Grothendieck rings},
author = {Michela Varagnolo and Eric Vasserot},
journal= {arXiv preprint arXiv:math/0103182},
year = {2007}
}
Comments
20 pages