Tensor categories / Pavel Etingof...[et al.].
Material type:
TextSeries: Mathematical surveys and monographs ; v 205.Publication details: Providence : American Mathematical Society, 2015.Description: xvi, 343 p. ; 27 cmISBN: - 9781470420246 (alk. paper)
- 510MS 23 Am512
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 510MS Am512 (Browse shelf(Opens below)) | Available | 136732 |
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| 510MS Am512 Foundations of free noncommutative function theory / | 510MS Am512 Nonlinear elliptic equations and nonassociative algebras / | 510MS Am512 Topological modular forms / | 510MS Am512 Tensor categories / | 510MS Am512 Grid homology for knots and links / | 510MS Am512 Ricci flow : | 510MS Am512 Persistence theory : from quiver representations to data analysis / |
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.
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.
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