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

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

2007-05-18

arxiv.org/abs/0705.2630v3

Mathematics

Representation Theory

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

Scientific paper

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.

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