TY  - BOOK
AU  - Etingof,Pavel
AU  - Gelaki,Shlomo
AU  - Nikshych,Dmitri
AU  - Ostrik,Victor
TI  - Tensor categories
T2  - Mathematical surveys and monographs
SN  - 9781470420246 (alk. paper)
U1  - 510MS 23
PY  - 2015///
CY  - Providence :       
PB  - American Mathematical Society,    
KW  - Algebraic topology
KW  - Tensor fields
KW  - Hopf algebras
N1  - Includes bibliographical references and index; 1. Abelian categories --
2. Monoidal categories --
3. Z₊-rings --
4. Tensor categories --
5. Repreentation categories of Hopf algebras --
6. Finite tensor categories --
7. Module categories --
8. Braided categories --
9. Fusion categories --
Bibliography --
Index
N2  - 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
ER  -