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Factorizable Sheaves and Quantum Groups, PDF eBook

Factorizable Sheaves and Quantum Groups PDF

Part of the Lecture Notes in Mathematics series

PDF

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Description

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity.

These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces.

As an application, the bundles of conformal blocks over the moduli spaces of curves are studied.

The book is intended for specialists in group representations and algebraic geometry.

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