---

＜電子ブック＞
Quantum Groups, Quantum Categories and Quantum Field Theory / by Jürg Fröhlich, Thomas Kerler
(Lecture Notes in Mathematics. ISSN:16179692 ; 1542)

版	1st ed. 1993.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1993
本文言語	英語
大きさ	VIII, 432 p : online resource
冊子体	Quantum groups, quantum categories and quantum field theory / Jürg Fröhlich, [Thomas Kerler] ; : gw,: us
著者標目	*Fröhlich, Jürg author Kerler, Thomas author SpringerLink (Online service)
件　名	LCSH:K-theory LCSH:Group theory LCSH:Mathematical analysis LCSH:Spintronics LCSH:Quantum physics FREE:K-Theory FREE:Group Theory and Generalizations FREE:Analysis FREE:Spintronics FREE:Quantum Physics
一般注記	and survey of results -- Local quantum theory with braid group statistics -- Superselection sectors and the structure of fusion rule algebras -- Hopf algebras and quantum groups at roots of unity -- Representation theory of U q red (s? 2) -- Path representations of the braid groups for quantum groups at roots of unity -- Duality theory for local quantum theories, dimensions and balancing in quantum categories -- The quantum categories with a generator of dimension less than two This book reviews recent results on low-dimensional quantum field theories and their connection with quantum group theory and the theory of braided, balanced tensor categories. It presents detailed, mathematically precise introductions to these subjects and then continues with new results. Among the main results are a detailed analysis of the representation theory of U (sl ), for q a primitive root of unity, and a semi-simple quotient thereof, a classfication of braided tensor categories generated by an object of q-dimension less than two, and an application of these results to the theory of sectors in algebraic quantum field theory. This clarifies the notion of "quantized symmetries" in quantum fieldtheory. The reader is expected to be familiar with basic notions and resultsin algebra. The book is intended for research mathematicians, mathematical physicists and graduate students Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/BFb0084244

 類似資料