02848nam 2200553 450 991048059810332120170822144450.00-8218-9116-2(CKB)3360000000464092(EBL)3114393(SSID)ssj0000888998(PQKBManifestationID)11487574(PQKBTitleCode)TC0000888998(PQKBWorkID)10875505(PQKB)11111220(MiAaPQ)EBC3114393(PPN)195419219(EXLCZ)99336000000046409220150415h20112011 uy 0engur|n|---|||||txtccrInfinite-dimensional representations of 2-groups /John C. Baez [and three others]Providence, Rhode Island :American Mathematical Society,2011.©20111 online resource (120 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 219, Number 1032"September 2012, Volume 219, Number 1032 (end of volume)."0-8218-7284-2 Includes bibliographical references.""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""""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""Memoirs of the American Mathematical Society ;Volume 219, Number 1032.Representations of groupsCategories (Mathematics)Electronic books.Representations of groups.Categories (Mathematics)512/.482Baez John C.1961-MiAaPQMiAaPQMiAaPQBOOK9910480598103321Infinite-dimensional representations of 2-groups2211397UNINA