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＜E-Book＞
Factorizable Sheaves and Quantum Groups / by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman
(Lecture Notes in Mathematics. ISSN:16179692 ; 1691)

Edition	1st ed. 1998.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1998
Language	English
Size	X, 290 p : online resource
Authors	*Bezrukavnikov, Roman author Finkelberg, Michael author Schechtman, Vadim author SpringerLink (Online service)
Subjects	LCSH:Algebraic geometry LCSH:Geometry, Differential LCSH:Topology LCSH:Nonassociative rings LCSH:Algebraic topology LCSH:Quantum physics FREE:Algebraic Geometry FREE:Differential Geometry FREE:Topology FREE:Non-associative Rings and Algebras FREE:Algebraic Topology FREE:Quantum Physics
Notes	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 HTTP:URL=https://doi.org/10.1007/BFb0092343

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