LEADER 02848nam 2200553 450 001 9910480598103321 005 20170822144450.0 010 $a0-8218-9116-2 035 $a(CKB)3360000000464092 035 $a(EBL)3114393 035 $a(SSID)ssj0000888998 035 $a(PQKBManifestationID)11487574 035 $a(PQKBTitleCode)TC0000888998 035 $a(PQKBWorkID)10875505 035 $a(PQKB)11111220 035 $a(MiAaPQ)EBC3114393 035 $a(PPN)195419219 035 $a(EXLCZ)993360000000464092 100 $a20150415h20112011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aInfinite-dimensional representations of 2-groups /$fJohn C. Baez [and three others] 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011. 210 4$dİ2011 215 $a1 online resource (120 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 219, Number 1032 300 $a"September 2012, Volume 219, Number 1032 (end of volume)." 311 $a0-8218-7284-2 320 $aIncludes bibliographical references. 327 $a""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""1.1. 2-Groups""; ""1.2. 2-Vector spaces""; ""1.3. Representations""; ""1.4. Applications""; ""1.5. Plan of the book""; ""Acknowledgments""; ""Chapter 2. Representations of 2-Groups""; ""2.1. From groups to 2-groups""; ""2.2. From group representations to 2-group representations""; ""Chapter 3. Measurable Categories""; ""3.1. From vector spaces to 2-vector spaces""; ""3.2. Categorical perspective on 2-vector spaces""; ""3.3. From 2-vector spaces to measurable categories""; ""Chapter 4. Representations on Measurable Categories"" 327 $a""4.1. Main results""""4.2. Invertible morphisms and 2-morphisms in ""; ""4.3. Structure theorems""; ""4.4. Equivalence of representations and of intertwiners""; ""4.5. Operations on representations""; ""4.6. Reduction, retraction, and decomposition""; ""Chapter 5. Conclusion""; ""Appendix A. Tools from Measure Theory""; ""A.1. Lebesgue decomposition and Radon-Nikodym derivatives""; ""A.2. Geometric mean measure""; ""A.3. Measurable groups""; ""A.4. Measurable -spaces""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 219, Number 1032. 606 $aRepresentations of groups 606 $aCategories (Mathematics) 608 $aElectronic books. 615 0$aRepresentations of groups. 615 0$aCategories (Mathematics) 676 $a512/.482 702 $aBaez$b John C.$f1961- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480598103321 996 $aInfinite-dimensional representations of 2-groups$92211397 997 $aUNINA