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Record Nr. |
UNINA9910480598103321 |
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Titolo |
Infinite-dimensional representations of 2-groups / / John C. Baez [and three others] |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 2011 |
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©2011 |
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ISBN |
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Descrizione fisica |
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1 online resource (120 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 219, Number 1032 |
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Disciplina |
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Soggetti |
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Representations of groups |
Categories (Mathematics) |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"September 2012, Volume 219, Number 1032 (end of volume)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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""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"" |
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