Tensor Categories Book Information:

="text-align: justify; is there a vector space whose dimension is the Golden Ratio? Of course notthe Golden Ratio is not an integer! But this can happen for generalizations of vector spacesobjects 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 connection 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.
< br style="text-align: justify; many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connection to other areas, additional results, and references are discussed at the end of each br>Chapter
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• Book Type/Genre :

Society & Culture

• Book Binding :

Paperback

• Language :

English

• Number of Pages :

Page count varies on each edition/reprint

• ISBN - 10 :

• Tensor Categories Published On :

2017

• Resource:

Society & Social Sciences, Society & Culture Book is recommended for Students, Teachers, Graduates, Professionals, and all bibliophiles

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