عنوان

Tensor categories /

شابک

1470420244

شابک

9781470420246

شماره

dltt

عنوان اصلي

Tensor categories /

نام عام مواد

[Book]

نام نخستين پديدآور

Pavel Etingof, Shlomo Gelaki, Dmitri Nikshych, Victor Ostrik

نام خاص و کميت اثر

xvi, 343 pages ;

ابعاد

26 cm

عنوان فروست

Mathematical surveys and monographs ;

مشخصه جلد

volume 205

متن يادداشت

Includes bibliographical references (pages 325-337) and index

متن يادداشت

Abelian categories -- Monoidal categories -- Z₊-rings -- Tensor categories -- Representation categories of Hopf algebras -- Finite tensor categories -- Module categories -- Braided categories -- Fusion categories

بدون عنوان

0

متن يادداشت

"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"--Back cover

موضوع مستند نشده

Algebraic topology

موضوع مستند نشده

Hopf algebras

موضوع مستند نشده

Tensor fields

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Etingof, P. I., (Pavel I.),1969-

مستند نام اشخاص تاييد نشده

Gelaki, Shlomo,1964-

مستند نام اشخاص تاييد نشده

Nikshych, Dmitri,1973-

مستند نام اشخاص تاييد نشده

Ostrik, Victor

تاريخ عمليات

20150909172801.0

قواعد فهرست نويسي ( بخش توصيفي )

rda

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y