Perverse sheaves and quantum Grothendieck rings

Details Perverse sheaves and quantum Grothendieck rings Perverse sheaves and quantum Grothendieck rings

2001-03-27

arxiv.org/abs/math/0103182v3

Mathematics

Quantum Algebra

20 pages

Scientific paper

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.

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