LEADER 03783nam 22006854a 450 001 9910782196103321 005 20230617010659.0 010 $a1-282-19505-0 010 $a9786612195051 010 $a3-11-020005-8 024 7 $a10.1515/9783110200058 035 $a(CKB)1000000000520479 035 $a(EBL)325669 035 $a(OCoLC)435619875 035 $a(SSID)ssj0000193769 035 $a(PQKBManifestationID)11180306 035 $a(PQKBTitleCode)TC0000193769 035 $a(PQKBWorkID)10226195 035 $a(PQKB)10516940 035 $a(MiAaPQ)EBC325669 035 $a(DE-B1597)32459 035 $a(OCoLC)979954972 035 $a(DE-B1597)9783110200058 035 $a(Au-PeEL)EBL325669 035 $a(CaPaEBR)ebr10194890 035 $a(CaONFJC)MIL219505 035 $a(EXLCZ)991000000000520479 100 $a20021025d2003 uy 0 101 0 $aeng 135 $aurun#---|u||u 181 $ctxt 182 $cc 183 $acr 200 00$aLocally compact quantum groups and groupoids$b[electronic resource] $eproceedings of the meeting of theoretical physicists and mathematicians, Strasbourg, February 21-23, 2002 /$feditor, Leonid Vainerman 210 $aBerlin ;$aNew York $cWalter de Gruyter$d2003 215 $a1 online resource (255 p.) 225 1 $aIRMA lectures in mathematics and theoretical physics ;$v2 300 $aDescription based upon print version of record. 311 0 $a3-11-017690-4 327 $tFront matter --$tTable of Contents --$tIntroduction of the editor --$tQuantum groupoids and pseudo-multiplicative unitaries --$tQuantum SU(1, 1) and its Pontryagin dual --$tMorita base change in quantum groupoids --$tGalois actions by finite quantum groupoids --$tOn low-dimensional locally compact quantum groups --$tMultiplicative partial isometries and finite quantum groupoids --$tMultiplier Hopf ?-algebras with positive integrals: A laboratory for locally compact quantum groups --$tBackmatter 330 $aThe book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics. 410 0$aIRMA lectures in mathematics and theoretical physics ;$v2. 606 $aQuantum groups$vCongresses 606 $aQuantum groupoids$vCongresses 606 $aLocally compact groups$vCongresses 606 $aMathematical physics$vCongresses 615 0$aQuantum groups 615 0$aQuantum groupoids 615 0$aLocally compact groups 615 0$aMathematical physics 676 $a530.14/3 686 $aSI 290$2rvk 701 $aVainerman$b Leonid$01558432 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782196103321 996 $aLocally compact quantum groups and groupoids$93822766 997 $aUNINA