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Hopf algebras and tensor categories : [electronic resource] international conference, July 4-8, 2011, University of Almer�ia, Almer�ia, Spain / Nicol�as Andruskiewitsch, Juan Cuadra, Blas Torrecillas, editors.

By: Conference on Hopf Algebras and Tensor Categories (2011 : University of Almeria).

Contributor(s): Andruskiewitsch, Nicol�as, 1958- | Cuadra, Juan, 1975- | Torrecillas, B. (Blas), 1958-.

Material type: materialTypeLabel

BookSeries: Contemporary mathematics, v. 585.Publisher: Providence, Rhode Island : American Mathematical Society, [2013]Description: 1 online resource (xv, 325 pages).Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821894989 (online).Subject(s): Hopf algebras -- Congresses | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Hopf algebras and their applications | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Bialgebras | Associative rings and algebras -- Rings and algebras arising under various constructions -- Smash products of general Hopf actions | Associative rings and algebras -- Hopf algebras, quantum groups and related topics -- Connections with combinatorics | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Universal enveloping (super)algebras | Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Quantum groups (quantized enveloping algebras) and related deformations | Category theory; homological algebra -- Categories with structure -- Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories | Category theory; homological algebra -- Categories and theories -- Triples (= standard construction, monad or triad), algebras for a triple, homology and derived functors for triples | $K$-theory -- Grothendieck groups and $K_0$ -- Frobenius induction, Burnside and representation ringsAdditional physical formats: Hopf algebras and tensor categories :DDC classification: 512/.46 Other classification: 16T05 | 16T10 | 16S40 | 16T30 | 17B35 | 17B37 | 18D10 | 18C15 | 19A22 Online resources: Contents | Contents

Contents:

Unified products and split extensions of Hopf algebras / A. L. Agore and G. Militaru -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11613 Hopf monoids in the category of species / Marcelo Aguiar and Swapneel Mahajan -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11665 Classifying Hopf algebras of a given dimension / Margaret Beattie and Gast�on Andr�es Garc�ia -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11615 On the double crossed product of weak Hopf algebras / Gabriella B�ohm and Jos�e G�omez-Torrecillas -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11614 The doubles of a braided Hopf algebra / Alain Brugui�eres and Alexis Virelizier -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11609 Induced Conjugacy Classes and Induced ${\mathcal U}_{\varepsilon }(G)$-Modules / Giovanna Carnovale -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11608 Recovering information from character tables of Hopf algebras: normality, dimensions and quotients / Miriam Cohen and Sara Westreich -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11620 Hom-quasi-bialgebras / Mohamed Elhamdadi and Abdenacer Makhlouf -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11617 On twisted conjugacy classes of type D in sporadic simple groups / F. Fantino and L. Vendramin -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11616 Partial and unified crossed products are weak crossed products / J. M. Fdez Vilaboa, R. Gonz�alez Rodr�iguez and A. B. Rodr�iguez Raposo -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11619 The Green rings of the generalized Taft Hopf algebras / Libin Li and Yinhuo Zhang -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11618 Morita equivalence methods in classification of fusion categories / Dmitri Nikshych -- http://www.ams.org/conm/585/ http://dx.doi.org/10.1090/conm/585/11607

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Proceedings of the International Conference Hopf Algebras and Tensor Categories, held at the University of Almeria, Spain, July 4-July 8, 2011.

Includes bibliographical references.

Unified products and split extensions of Hopf algebras / A. L. Agore and G. Militaru -- Hopf monoids in the category of species / Marcelo Aguiar and Swapneel Mahajan -- Classifying Hopf algebras of a given dimension / Margaret Beattie and Gast�on Andr�es Garc�ia -- On the double crossed product of weak Hopf algebras / Gabriella B�ohm and Jos�e G�omez-Torrecillas -- The doubles of a braided Hopf algebra / Alain Brugui�eres and Alexis Virelizier -- Induced Conjugacy Classes and Induced ${\mathcal U}_{\varepsilon }(G)$-Modules / Giovanna Carnovale -- Recovering information from character tables of Hopf algebras: normality, dimensions and quotients / Miriam Cohen and Sara Westreich -- Hom-quasi-bialgebras / Mohamed Elhamdadi and Abdenacer Makhlouf -- On twisted conjugacy classes of type D in sporadic simple groups / F. Fantino and L. Vendramin -- Partial and unified crossed products are weak crossed products / J. M. Fdez Vilaboa, R. Gonz�alez Rodr�iguez and A. B. Rodr�iguez Raposo -- The Green rings of the generalized Taft Hopf algebras / Libin Li and Yinhuo Zhang -- Morita equivalence methods in classification of fusion categories / Dmitri Nikshych --

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11613

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11665

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11615

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11614

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11609

http://www.ams.org/conm/585/

http://dx.doi.org/10.1090/conm/585/11608