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Factorizable Sheaves and Quantum Groups

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...

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Bibliographic Details
Main Authors: Bezrukavnikov, Roman, Finkelberg, Michael (Author), Schechtman, Vadim (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1998, 1998
Edition:1st ed. 1998
Series:Lecture Notes in Mathematics
Subjects:
Quantum Physics
Geometry, Differential
Algebraic Topology
Algebraic Geometry
Nonassociative Rings
Topology
Differential Geometry
Non-associative Rings And Algebras
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Factorizable Sheaves and Quantum Groups  |h Elektronische Ressource  |c by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman 
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505 0 |a 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 
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653 |a Non-associative Rings and Algebras 
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520 |a 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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