A geometric categorification of tensor products of $U_q(sl_2)$-modules
Representation Theory
2007-06-13 v3 Quantum Algebra
Abstract
We give a purely geometric categorification of tensor products of finite-dimensional simple -modules and -matrices on them. The work is developed in the framework of category of perverse sheaves and the categorification theorems are understood as consequences of Deligne's theory of weights.
Cite
@article{arxiv.0705.2630,
title = {A geometric categorification of tensor products of $U_q(sl_2)$-modules},
author = {Hao Zheng},
journal= {arXiv preprint arXiv:0705.2630},
year = {2007}
}
Comments
44pages, made up some mistakes in the proof of Theorem 4.2.4