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Pavel Etingof - Tensor Categories - 9781470434410 - V9781470434410
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Tensor Categories

€ 188.49
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Description for Tensor Categories Paperback. Series: Mathematical Surveys and Monographs. Num Pages: 344 pages. BIC Classification: PBF; PBMW. Category: (P) Professional & Vocational. Dimension: 229 x 152. .
Is there a vector space whose dimension is the golden ratio? Of course not-the golden ratio is not an integer! But this can happen for generalizations of vector spaces-objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Product Details

Format
Paperback
Publication date
2016
Publisher
American Mathematical Society United States
Number of pages
344
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
344
Place of Publication
Providence, United States
ISBN
9781470434410
SKU
V9781470434410
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1

About Pavel Etingof
Pavel Etingof, Massachusetts Institute of Technology, Cambridge, MA, USA. Shlomo Gelaki, Technion-Israel Institute of Technology, Haifa, Israel. Dmitri Nikshych, University of New Hampshire, Durham, NH, USA. Victor Ostrik, University of Oregon, Eugene, OR, USA.

Reviews for Tensor Categories
...this book is certainly a must-have for any researcher working in tensor categories or a related field, and is already the standard reference in the subject." - Julien Bichon, AMS Blogs

Goodreads reviews for Tensor Categories


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