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New Trends in Hopf Algebra Theory
 
Edited by: Nicolás Andruskiewitsch Universidad Nacional de Córdoba, Córdoba, Argentina
Walter Ricardo Ferrer Santos Centro de Matemática, Montevideo, Uruguay
Hans-Jürgen Schneider Universität München, München, Germany
Front Cover for New Trends in Hopf Algebra Theory
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Softcover ISBN: 978-0-8218-2126-8
Product Code: CONM/267
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN: 978-0-8218-7857-6
Product Code: CONM/267.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
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This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
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Front Cover for New Trends in Hopf Algebra Theory
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  • Front Cover for New Trends in Hopf Algebra Theory
  • Back Cover for New Trends in Hopf Algebra Theory
New Trends in Hopf Algebra Theory
Edited by: Nicolás Andruskiewitsch Universidad Nacional de Córdoba, Córdoba, Argentina
Walter Ricardo Ferrer Santos Centro de Matemática, Montevideo, Uruguay
Hans-Jürgen Schneider Universität München, München, Germany
Available Formats:
Softcover ISBN:  978-0-8218-2126-8
Product Code:  CONM/267
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN:  978-0-8218-7857-6
Product Code:  CONM/267.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2672000; 356 pp
    MSC: Primary 16;

    This volume presents the proceedings from the Colloquium on Quantum Groups and Hopf Algebras held in Córdoba (Argentina) in 1999. The meeting brought together researchers who discussed recent developments in Hopf algebras, one of the most important being the influence of quantum groups.

    Articles offer introductory expositions and surveys on topics of current interest that, to date, have not been available in the current literature. Surveys are included on characteristics of Hopf algebras and their generalizations, biFrobenius algebras, braided Hopf algebras, inner actions and Galois theory, face algebras, and infinitesimal Hopf algebras. The following topics are also covered: existence of integrals, classification of semisimple and pointed Hopf algebras, \(*\)-Hopf algebras, dendriform algebras, etc. Non-classical topics are also included, reflecting its applications both inside and outside the theory.

    Readership

    Graduate students and research mathematicians interested in Hopf algebras and quantum groups; algebraists; specialists in combinatorics; mathematical physicists.

  • Table of Contents
     
     
    • Articles
    • Marcelo Aguiar - Infinitesimal Hopf algebras [ MR 1800704 ]
    • S. Caenepeel and E. De Groot - Modules over weak entwining structures [ MR 1800705 ]
    • Miriam Cohen - On generalized characters [ MR 1800706 ]
    • Yukio Doi and Mitsuhiro Takeuchi - Bi-Frobenius algebras [ MR 1800707 ]
    • Ariel García and Roberto Trinchero - Integrable models and star structures [ MR 1800708 ]
    • Matías Graña - On Nichols algebras of low dimension [ MR 1800709 ]
    • Jorge A. Guccione and Juan J. Guccione - A generalization of crossed products [ MR 1800710 ]
    • Takahiro Hayashi - A brief introduction to face algebras [ MR 1800711 ]
    • Louis H. Kauffman and David E. Radford - On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras [ MR 1800712 ]
    • Akira Masuoka - Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension [ MR 1800713 ]
    • Alexander Milinski and Hans-Jürgen Schneider - Pointed indecomposable Hopf algebras over Coxeter groups [ MR 1800714 ]
    • Dmitri Nikshych - A duality theorem for quantum groupoids [ MR 1800715 ]
    • María Ronco - Primitive elements in a free dendriform algebra [ MR 1800716 ]
    • Sebastian Sachse - On operator representations of $U_q({\rm isl}(2,{\bf R}))$ [ MR 1800717 ]
    • Peter Schauenburg - Duals and doubles of quantum groupoids ($\times _R$-Hopf algebras) [ MR 1800718 ]
    • Mitsuhiro Takeuchi - Survey of braided Hopf algebras [ MR 1800719 ]
    • Sara Westreich - Inner and outer actions of pointed Hopf algebras [ MR 1800720 ]
    • Jiang-Hua Lu, Min Yan and Yongchang Zhu - Quasi-triangular structures on Hopf algebras with positive bases [ MR 1800721 ]
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Volume: 2672000; 356 pp
MSC: Primary 16;

This volume presents the proceedings from the Colloquium on Quantum Groups and Hopf Algebras held in Córdoba (Argentina) in 1999. The meeting brought together researchers who discussed recent developments in Hopf algebras, one of the most important being the influence of quantum groups.

Articles offer introductory expositions and surveys on topics of current interest that, to date, have not been available in the current literature. Surveys are included on characteristics of Hopf algebras and their generalizations, biFrobenius algebras, braided Hopf algebras, inner actions and Galois theory, face algebras, and infinitesimal Hopf algebras. The following topics are also covered: existence of integrals, classification of semisimple and pointed Hopf algebras, \(*\)-Hopf algebras, dendriform algebras, etc. Non-classical topics are also included, reflecting its applications both inside and outside the theory.

Readership

Graduate students and research mathematicians interested in Hopf algebras and quantum groups; algebraists; specialists in combinatorics; mathematical physicists.

  • Articles
  • Marcelo Aguiar - Infinitesimal Hopf algebras [ MR 1800704 ]
  • S. Caenepeel and E. De Groot - Modules over weak entwining structures [ MR 1800705 ]
  • Miriam Cohen - On generalized characters [ MR 1800706 ]
  • Yukio Doi and Mitsuhiro Takeuchi - Bi-Frobenius algebras [ MR 1800707 ]
  • Ariel García and Roberto Trinchero - Integrable models and star structures [ MR 1800708 ]
  • Matías Graña - On Nichols algebras of low dimension [ MR 1800709 ]
  • Jorge A. Guccione and Juan J. Guccione - A generalization of crossed products [ MR 1800710 ]
  • Takahiro Hayashi - A brief introduction to face algebras [ MR 1800711 ]
  • Louis H. Kauffman and David E. Radford - On two proofs for the existence and uniqueness of integrals for finite-dimensional Hopf algebras [ MR 1800712 ]
  • Akira Masuoka - Cocycle deformations and Galois objects for some cosemisimple Hopf algebras of finite dimension [ MR 1800713 ]
  • Alexander Milinski and Hans-Jürgen Schneider - Pointed indecomposable Hopf algebras over Coxeter groups [ MR 1800714 ]
  • Dmitri Nikshych - A duality theorem for quantum groupoids [ MR 1800715 ]
  • María Ronco - Primitive elements in a free dendriform algebra [ MR 1800716 ]
  • Sebastian Sachse - On operator representations of $U_q({\rm isl}(2,{\bf R}))$ [ MR 1800717 ]
  • Peter Schauenburg - Duals and doubles of quantum groupoids ($\times _R$-Hopf algebras) [ MR 1800718 ]
  • Mitsuhiro Takeuchi - Survey of braided Hopf algebras [ MR 1800719 ]
  • Sara Westreich - Inner and outer actions of pointed Hopf algebras [ MR 1800720 ]
  • Jiang-Hua Lu, Min Yan and Yongchang Zhu - Quasi-triangular structures on Hopf algebras with positive bases [ MR 1800721 ]
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