Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Hopf Algebras and Tensor Categories
 
Edited by: Nicolás Andruskiewitsch Universidad Nacional de Córdoba, Córdoba, Argentina
Juan Cuadra Universidad de Almería, Almería, Spain
Blas Torrecillas Universidad de Almería, Almería, Spain
Hopf Algebras and Tensor Categories
eBook ISBN:  978-0-8218-9498-9
Product Code:  CONM/585.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hopf Algebras and Tensor Categories
Click above image for expanded view
Hopf Algebras and Tensor Categories
Edited by: Nicolás Andruskiewitsch Universidad Nacional de Córdoba, Córdoba, Argentina
Juan Cuadra Universidad de Almería, Almería, Spain
Blas Torrecillas Universidad de Almería, Almería, Spain
eBook ISBN:  978-0-8218-9498-9
Product Code:  CONM/585.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 5852013; 334 pp
    MSC: Primary 16; 17; 18; 19

    This volume contains the proceedings of the Conference on Hopf Algebras and Tensor Categories, held July 4–8, 2011, at the University of Almería, Almería, 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 normalized class sum and generalized 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.

    Readership

    Graduate students and research mathematicians interested in Hopf algebra theory, tensor categories, quantum groups, representation theory, and combinatorics and conformal field theory.

  • Table of Contents
     
     
    • Articles
    • A. L. Agore and G. Militaru — Unified products and split extensions of Hopf algebras
    • Marcelo Aguiar and Swapneel Mahajan — Hopf monoids in the category of species
    • Margaret Beattie and Gastón Andrés García — Classifying Hopf algebras of a given dimension
    • Gabriella Böhm and José Gómez-Torrecillas — On the double crossed product of weak Hopf algebras
    • Alain Bruguières and Alexis Virelizier — The doubles of a braided Hopf algebra
    • Giovanna Carnovale — Induced Conjugacy Classes and Induced ${\mathcal U}_{\varepsilon }(G)$-Modules
    • Miriam Cohen and Sara Westreich — Recovering information from character tables of Hopf algebras: normality, dimensions and quotients
    • Mohamed Elhamdadi and Abdenacer Makhlouf — Hom-quasi-bialgebras
    • F. Fantino and L. Vendramin — On twisted conjugacy classes of type D in sporadic simple groups
    • J. M. Fdez Vilaboa, R. González Rodríguez and A. B. Rodríguez Raposo — Partial and unified crossed products are weak crossed products
    • Libin Li and Yinhuo Zhang — The Green rings of the generalized Taft Hopf algebras
    • Dmitri Nikshych — Morita equivalence methods in classification of fusion categories
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 5852013; 334 pp
MSC: Primary 16; 17; 18; 19

This volume contains the proceedings of the Conference on Hopf Algebras and Tensor Categories, held July 4–8, 2011, at the University of Almería, Almería, 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 normalized class sum and generalized 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.

Readership

Graduate students and research mathematicians interested in Hopf algebra theory, tensor categories, quantum groups, representation theory, and combinatorics and conformal field theory.

  • Articles
  • A. L. Agore and G. Militaru — Unified products and split extensions of Hopf algebras
  • Marcelo Aguiar and Swapneel Mahajan — Hopf monoids in the category of species
  • Margaret Beattie and Gastón Andrés García — Classifying Hopf algebras of a given dimension
  • Gabriella Böhm and José Gómez-Torrecillas — On the double crossed product of weak Hopf algebras
  • Alain Bruguières and Alexis Virelizier — The doubles of a braided Hopf algebra
  • Giovanna Carnovale — Induced Conjugacy Classes and Induced ${\mathcal U}_{\varepsilon }(G)$-Modules
  • Miriam Cohen and Sara Westreich — Recovering information from character tables of Hopf algebras: normality, dimensions and quotients
  • Mohamed Elhamdadi and Abdenacer Makhlouf — Hom-quasi-bialgebras
  • F. Fantino and L. Vendramin — On twisted conjugacy classes of type D in sporadic simple groups
  • J. M. Fdez Vilaboa, R. González Rodríguez and A. B. Rodríguez Raposo — Partial and unified crossed products are weak crossed products
  • Libin Li and Yinhuo Zhang — The Green rings of the generalized Taft Hopf algebras
  • Dmitri Nikshych — Morita equivalence methods in classification of fusion categories
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.