LEADER 02692nam 2200685 450 001 996466871803316 005 20220303145658.0 010 $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 $a20220303d1998 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFactorizable sheaves and quantum groups /$fRoman Bezrukavnikov, Michael Finkelberg, Vadim Schechtman 205 $a1st ed. 1998. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1998] 210 4$dİ1998 215 $a1 online resource (X, 290 p.) 225 1 $aLecture Notes in Mathematics ;$v1691 300 $aBibliographic Level Mode of Issuance: Monograph 311 $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 (Springer-Verlag) ;$v1691. 606 $aQuantum groups 606 $aRepresentations of groups 606 $aSheaf theory 615 0$aQuantum groups. 615 0$aRepresentations of groups. 615 0$aSheaf theory. 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 $a996466871803316 996 $aFactorizable sheaves and quantum groups$9261824 997 $aUNISA