Tensor categories (Record no. 59892)
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000 -LEADER | |
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fixed length control field | 02290nam a22002657a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 230510b |||||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
ISBN | 9781470437411 (PB) |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
Universal Decimal Classification number | 512 |
Item number | ETI |
100 ## - MAIN ENTRY--AUTHOR NAME | |
Personal name | Etingof, Pavel |
245 ## - TITLE STATEMENT | |
Title | Tensor categories |
250 ## - EDITION STATEMENT | |
Edition statement | Indian Edition |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication | Providence, Rhode Island |
Name of publisher | American Mathematical Society (AMS) |
Year of publication | 2017 |
300 ## - PHYSICAL DESCRIPTION | |
Number of Pages | xvi, 343 p |
490 ## - SERIES STATEMENT | |
Series statement | Mathematical surveys and monographs |
Volume number/sequential designation | 205 |
505 ## - FORMATTED CONTENTS NOTE | |
Formatted contents note | Abelian categories<br/>Monoidal categories<br/>Z₊-rings<br/>Tensor categories<br/>Repreentation categories of Hopf algebras<br/>Finite tensor categories<br/>Module categories<br/>Braided categories<br/>Fusion categories |
520 ## - SUMMARY, ETC. | |
Summary, etc | "Is there a vector space whose dimension is not 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"- |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | $K$-theory Higher algebraic $K$-theory Symmetric monoidal categories |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical Term | Algebraic topology |
690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
Topical term or geographic name as entry element | Mathematics |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Gelaki, Shlomo |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Nikshych,Dmitri |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Ostrik,Victor |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Koha item type | BOOKS |
Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) | Copy number |
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IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 3 | 512 ETI | 77166 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) Through Prof. R Balasubramanian | |||||
IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 3 | 512 ETI | 77183 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) | 1 |