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Bezrukavnikov, Roman.

Factorizable Sheaves and Quantum Groups [electronic resource] / by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman. - Berlin, Heidelberg : Springer Berlin Heidelberg, 1998. - X, 290 p. online resource. - Lecture Notes in Mathematics, 1691 0075-8434 ; . - Lecture Notes in Mathematics, 1691 .

Acknowledgement -- Overview -- Intersection cohomology of real arrangements -- Configuration spaces and quantum groups -- Tensor categories arising from configuration spaces -- Localization on ?1 -- Modular structure on the category .

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.

ISBN: 9783540692317

Standard No.: 10.1007/BFb0092343 doi

Subjects--Topical Terms:
Mathematics.
Geometry, algebraic.
Algebra.
Algebraic topology.
Quantum theory.
Mathematics.
Algebraic Geometry.
Non-associative Rings and Algebras.
Algebraic Topology.
Quantum Physics.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35