Hopf algebras and tensor categories : international conference, July 4-8, 2011, University of Almería, Almería, Spain
著者
書誌事項
Hopf algebras and tensor categories : international conference, July 4-8, 2011, University of Almería, Almería, Spain
（Contemporary mathematics, 585）
American Mathematical Society, c2013
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the Conference on Hopf Algebras and Tensor Categories, held July 4-8, 2011, at the University of Almeria, Almeria, Spain.
The articles in this volume cover a wide variety of topics related to the theory of Hopf algebras and its connections to other areas of mathematics. In particular, this volume contains a survey covering aspects of the classification of fusion categories using Morita equivalence methods, a long, self-contained, and comprehensive introduction to Hopf algebras in the category of species, and a summary of the status to date of the classification of Hopf algebras of dimensions up to 100. Among other articles in this volume are a study of normalised class sum and generalised character table for semisimple Hopf algebras, a contribution to the classification program of finite dimensional pointed Hopf algebras, an analysis of conjugacy classes related to a conjecture of De Concini, Kac, and Procesi on representations of quantum groups at roots of unity, a categorical approach to the Drinfeld double of a braided Hopf algebra via Hopf monads, an overview of Hom-Hopf algebras, and several discussions on the crossed product construction in different settings.
目次
Unified products and split extensions of Hopf algebras by A. L. Agore and G. Militaru Hopf monoids in the category of species by M. Aguiar and S. Mahajan Classifying Hopf algebras of a given dimension by M. Beattie and G. A. Garcia On the double crossed product of weak Hopf algebras by G. Bohm and J. Gomez-Torrecillas The doubles of a braided Hopf algebra by A. Bruguieres and A. Virelizier Induced conjugacy classes and induced ${\mathcal U}_{\varepsilon}(G)$-modules by G. Carnovale Recovering information from character tables of Hopf algebras: Normality, dimensions and quotients by M. Cohen and S. Westreich Hom-quasi-bialgebras by M. Elhamdadi and A. Makhlouf On twisted conjugacy classes of type D in sporadic simple groups by F. Fantino and L. Vendramin Partial and unified crossed products are weak crossed products by J. M. F. Vilaboa, R. G. Rodriguez, and A. B. R. Raposo The Green rings of the generalized Taft Hopf algebras by L. Li and Y. Zhang Morita equivalence methods in classification of fusion categories by D. Nikshych
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