| 000 -LEADER |
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| fixed length control field |
nam a22 7a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180214b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470437411 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.57 |
| Item number |
ETI |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Etingof, Pavel |
| 245 ## - TITLE STATEMENT |
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| Title |
Tensor categories |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Rhode Island American Mathematical Society, |
| Place of publication, distribution, etc |
Providence: |
| Date of publication, distribution, etc |
2015 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 343 p. |
| Dimensions |
26 cm. |
| 365 ## - TRADE PRICE |
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| Price type code |
INR |
| Price amount |
1225.00 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Is there a vector space whose dimension is 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Categories - Mathematics |
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| Topical term or geographic name as entry element |
Hopf algebras |
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| Topical term or geographic name as entry element |
Algebraic topology |
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| Topical term or geographic name as entry element |
Group theory |
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| Topical term or geographic name as entry element |
Homological algebra |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Gelaki, Shlomo |
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| Personal name |
Nikshych, Dmitri |
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| Personal name |
Ostrik, Victor |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |