LEADER 03347nam 22008895 450 001 9910146303803321 005 20250731082147.0 010 $a3-540-69231-2 024 7 $a10.1007/BFb0092343 035 $a(CKB)1000000000437322 035 $a(SSID)ssj0000323085 035 $a(PQKBManifestationID)12099160 035 $a(PQKBTitleCode)TC0000323085 035 $a(PQKBWorkID)10296245 035 $a(PQKB)11655157 035 $a(DE-He213)978-3-540-69231-7 035 $a(MiAaPQ)EBC5585480 035 $a(Au-PeEL)EBL5585480 035 $a(OCoLC)1066194050 035 $a(MiAaPQ)EBC6842913 035 $a(Au-PeEL)EBL6842913 035 $a(OCoLC)1292354628 035 $a(PPN)155230700 035 $a(EXLCZ)991000000000437322 100 $a20121227d1998 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFactorizable Sheaves and Quantum Groups /$fby Roman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman 205 $a1st ed. 1998. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1998. 215 $a1 online resource (X, 290 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1691 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-64619-1 327 $aAcknowledgement -- 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 . 330 $aThe book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity. These representations are realized as some spaces of vanishing cycles of perverse sheaves over configuration spaces. As an application, the bundles of conformal blocks over the moduli spaces of curves are studied. The book is intended for specialists in group representations and algebraic geometry. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1691 606 $aGeometry, Algebraic 606 $aGeometry, Differential 606 $aTopology 606 $aNonassociative rings 606 $aAlgebraic topology 606 $aQuantum theory 606 $aAlgebraic Geometry 606 $aDifferential Geometry 606 $aTopology 606 $aNon-associative Rings and Algebras 606 $aAlgebraic Topology 606 $aQuantum Physics 615 0$aGeometry, Algebraic. 615 0$aGeometry, Differential. 615 0$aTopology. 615 0$aNonassociative rings. 615 0$aAlgebraic topology. 615 0$aQuantum theory. 615 14$aAlgebraic Geometry. 615 24$aDifferential Geometry. 615 24$aTopology. 615 24$aNon-associative Rings and Algebras. 615 24$aAlgebraic Topology. 615 24$aQuantum Physics. 676 $a512.55 686 $a81R50$2msc 686 $a17B37$2msc 700 $aBezrukavnikov$b Roman$f1973-$062011 702 $aFinkelberg$b Michael$f1967- 702 $aSchechtman$b Vadim$f1954- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146303803321 996 $aFactorizable sheaves and quantum groups$9261824 997 $aUNINA