000			05335nam a22004813i 4500
001			EBC5770283
003			MiAaPQ
005			20240724113716.0
006			m o d |
007			cr cnu||||||||
008			240724s2019 xx o ||||0 eng d
020			_a9781470452391 _q(electronic bk.)
020			_z9781470443214
035			_a(MiAaPQ)EBC5770283
035			_a(Au-PeEL)EBL5770283
035			_a(OCoLC)1101034554
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA613.8 .M384 2019
082	0		_a512/.55
100	1		_aAndruskiewitsch, Nicolás.
245	1	0	_aTensor Categories and Hopf Algebras.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2019.
264		4	_c©2019.
300			_a1 online resource (210 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aContemporary Mathematics Series ; _vv.728
505	0		_aCover -- Title page -- Contents -- Preface -- On finite GK-dimensional Nichols algebras of diagonal type -- 1. Introduction -- 2. Preliminaries -- 3. General results -- 4. Rank 2 -- References -- On nonassociative graded-simple algebras over the field of real numbers -- 1. Introduction -- 2. Background on gradings -- 3. Loop construction -- 4. Alternative algebras -- 5. Jordan algebras of degree 2 -- Acknowledgments -- References -- Nonsemisimple Hopf algebras of dimension 8 with the Chevalley property -- 1. Introduction -- 2. Preliminaries -- 3. Nonsemisimple Hopf algebras of dimension 8 -- 4. Nonsemisimple Hopf algebras of dimension 24 -- References -- Pointed braided tensor categories -- 1. Introduction -- 2. Preliminaries -- 3. Quantum linear spaces of symmetric type -- 4. Classification of co-quasitriangular structures on pointed Hopf algebras (Proof of Theorem 1.1) -- 5. The symmetric center of \C(Γ, ₀, , ₁) -- 6. Ribbon structures on \C(Γ, ₀, , ₁) -- 7. Metric data (Proof of Theorem 1.2) -- 8. The Drinfeld center of a pointed braided tensor category -- Acknowledgments. -- References -- Eigenvalues of the squared antipode in finite dimensional weak Hopf algebras -- 1. Introduction -- 2. Pivotal structures matched to a module category -- 3. Eigenvalues of ² -- 4. Eigenvalues of ² for dynamical quantum groups at roots of 1 -- 5. Acknowledgements. -- Appendix A. Module traces and inner-product structures -- References -- Cohen-Macaulay invariant subalgebras of Hopf dense Galois extensions -- 0. Introduction -- 1. Hom-sets of the quotient category -- 2. Hom-sets of the quotient categories of smash products -- 3. Invariant subalgebras of Hopf dense Galois extensions -- 4. Cohen-Macaulay property of as an ^{ }-module -- 5. Finite group actions on noetherian complete semilocal algebras -- References.
505	8		_aBialgebra coverings and transfer of structure -- Introduction -- 1. Measurings -- 2. Partial Coverings and Transfer of Structure -- 3. Cocommutative and Graded Coverings -- 4. A Nichols Theorem for Hopf coverings -- Acknowledgements -- References -- Classifying braidings on fusion categories -- 1. Introduction -- 2. Preliminaries -- 3. Subcategories transversal to a Lagrangian algebra -- 4. Braidings on non-degenerate fusion categories -- 5. Braidings on group-theoretical categories -- Acknowledgements -- References -- Remarks on global dimensions of fusion categories -- 1. Introduction -- 2. Preliminaries -- 3. Pseudo-unitary inequality without pseudo-unitarity -- 4. Bounds for formal codegrees -- 5. Fusion categories of the same global dimension -- Appendix A. -- Acknowledgements -- References -- On Hopf algebras with triangular decomposition -- 1. Introduction -- 2. A general framework -- 3. Preliminaries on Hopf algebras -- 4. A method to construct Hopf algebras with triangular decomposition -- 5. On the representation theory of \kuu_{( , )}( ) -- Acknowedgments -- References -- Back Cover.
520			_aThis volume contains the proceedings of the scientific session "Hopf Algebras and Tensor Categories", held from July 27-28, 2017, at the Mathematical Congress of the Americas in Montreal, Canada. Papers highlight the latest advances and research directions in the theory of tensor categories and Hopf algebras. Primary topics include classification and structure theory of tensor categories and Hopf algebras, Gelfand-Kirillov dimension theory for Nichols algebras, module categories and weak Hopf algebras, Hopf Galois extensions, graded simple algebras, and bialgebra coverings.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHopf algebras-Congresses.
650		0	_aTensor fields-Congresses.
655		4	_aElectronic books.
700	1		_aNikshych, Dmitri.
776	0	8	_iPrint version: _aAndruskiewitsch, Nicolás _tTensor Categories and Hopf Algebras _dProvidence : American Mathematical Society,c2019 _z9781470443214
797	2		_aProQuest (Firm)
830		0	_aContemporary Mathematics Series
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=5770283 _zClick to View
999			_c10469 _d10469