arXiv:0705.2630 Abstract | arXiv Analytics

arXiv:0705.2630 [math.RT]Abstract References Reviews Resources

A geometric categorification of tensor products of $U_q(sl_2)$-modules

Published 2007-05-18, updated 2007-06-09Version 3

We give a purely geometric categorification of tensor products of finite-dimensional simple $U_q(sl_2)$-modules and $R$-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.

Comments: 44pages, made up some mistakes in the proof of Theorem 4.2.4

Categories: math.RT, math.QA

Subjects: 17B37, 18F20, 14M15

Keywords: tensor products, finite-dimensional simple, delignes theory, perverse sheaves, categorification theorems

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