02692nam 2200685 450 99646687180331620220303145658.03-540-69231-210.1007/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)99100000000043732220220303d1998 uy 0engurnn#008mamaatxtccrFactorizable sheaves and quantum groups /Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman1st ed. 1998.Berlin ;Heidelberg :Springer-Verlag,[1998]©19981 online resource (X, 290 p.)Lecture Notes in Mathematics ;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 (Springer-Verlag) ;1691.Quantum groupsRepresentations of groupsSheaf theoryQuantum groups.Representations of groups.Sheaf theory.512.5581R50msc17B37mscBezrukavnikov Roman1973-62011Finkelberg Michael1967-Schechtman Vadim1954-MiAaPQMiAaPQMiAaPQBOOK996466871803316Factorizable sheaves and quantum groups261824UNISA