Tensor categories (Record no. 59892)

000 -LEADER
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
Holdings
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
        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
The Institute of Mathematical Sciences, Chennai, India

Powered by Koha