000			01932cam a2200301 i 4500
001			136732
003			ISI Library, Kolkata
005			20160406153632.0
008			150219s2015 riu b 001 0 eng
020			_a9781470420246 (alk. paper)
040			_aISI Library _beng
082	0	4	_a510MS _223 _bAm512
100	1		_aEtingof, Pavel.
245	1	0	_aTensor categories / _cPavel Etingof...[et al.].
260			_aProvidence : _bAmerican Mathematical Society, _c2015.
300			_axvi, 343 p. ; _c27 cm.
490	0		_aMathematical surveys and monographs ; _vv 205.
504			_aIncludes bibliographical references and index.
505	0		_a1. 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.
520			_aThis 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		0	_aAlgebraic topology.
650		0	_aTensor fields.
650		0	_aHopf algebras.
700	1		_aGelaki, Shlomo, _eauthor
700	1		_aNikshych, Dmitri, _eauthor
700	1		_aOstrik, Victor. _eauthor
942			_2ddc _cBK
999			_c420762 _d420762