03347nam 22008895 450 991014630380332120250731082147.03-540-69231-210.1007/BFb0092343(CKB)1000000000437322(SSID)ssj0000323085(PQKBManifestationID)12099160(PQKBTitleCode)TC0000323085(PQKBWorkID)10296245(PQKB)11655157(DE-He213)978-3-540-69231-7(MiAaPQ)EBC5585480(Au-PeEL)EBL5585480(OCoLC)1066194050(MiAaPQ)EBC6842913(Au-PeEL)EBL6842913(OCoLC)1292354628(PPN)155230700(EXLCZ)99100000000043732220121227d1998 u| 0engurnn#008mamaatxtccrFactorizable Sheaves and Quantum Groups /by Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman1st ed. 1998.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1998.1 online resource (X, 290 p.)Lecture Notes in Mathematics,1617-9692 ;1691Bibliographic Level Mode of Issuance: Monograph3-540-64619-1 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.Lecture Notes in Mathematics,1617-9692 ;1691Geometry, AlgebraicGeometry, DifferentialTopologyNonassociative ringsAlgebraic topologyQuantum theoryAlgebraic GeometryDifferential GeometryTopologyNon-associative Rings and AlgebrasAlgebraic TopologyQuantum PhysicsGeometry, Algebraic.Geometry, Differential.Topology.Nonassociative rings.Algebraic topology.Quantum theory.Algebraic Geometry.Differential Geometry.Topology.Non-associative Rings and Algebras.Algebraic Topology.Quantum Physics.512.5581R50msc17B37mscBezrukavnikov Roman1973-62011Finkelberg Michael1967-Schechtman Vadim1954-MiAaPQMiAaPQMiAaPQBOOK9910146303803321Factorizable sheaves and quantum groups261824UNINA