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Galois Theory, Hopf Algebras, and Semiabelian Categories
 
Edited by: George Janelidze :  Razmadze Mathematical Institute of the Georgian Academy of Sciences, Tbilisi, Republic of Georgia
Bodo Pareigis :  University of Munich, Munich, Germany
Walter Tholen :  York University, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Galois Theory, Hopf Algebras, and Semiabelian Categories
Hardcover ISBN:  978-0-8218-3290-5
Product Code:  FIC/43
List Price: $167.00
MAA Member Price: $150.30
AMS Member Price: $133.60
eBook ISBN:  978-1-4704-3077-1
Product Code:  FIC/43.E
List Price: $158.00
MAA Member Price: $142.20
AMS Member Price: $126.40
Hardcover ISBN:  978-0-8218-3290-5
eBook: ISBN:  978-1-4704-3077-1
Product Code:  FIC/43.B
List Price: $325.00 $246.00
MAA Member Price: $292.50 $221.40
AMS Member Price: $260.00 $196.80
Add to cart
Galois Theory, Hopf Algebras, and Semiabelian Categories
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Galois Theory, Hopf Algebras, and Semiabelian Categories
Edited by: George Janelidze :  Razmadze Mathematical Institute of the Georgian Academy of Sciences, Tbilisi, Republic of Georgia
Bodo Pareigis :  University of Munich, Munich, Germany
Walter Tholen :  York University, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-3290-5
Product Code:  FIC/43
List Price: $167.00
MAA Member Price: $150.30
AMS Member Price: $133.60
eBook ISBN:  978-1-4704-3077-1
Product Code:  FIC/43.E
List Price: $158.00
MAA Member Price: $142.20
AMS Member Price: $126.40
Hardcover ISBN:  978-0-8218-3290-5
eBook ISBN:  978-1-4704-3077-1
Product Code:  FIC/43.B
List Price: $325.00 $246.00
MAA Member Price: $292.50 $221.40
AMS Member Price: $260.00 $196.80
Add to cart
  • Book Details
     
     
    Fields Institute Communications
    Volume: 43; 2004; 570 pp
    MSC: Primary 08; 12; 13; 14; 16; 17; 18; 19; 22

    This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas.

    This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabelian categories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures.

    Articles are suitable for graduate students and researchers, specifically those interested in Galois theory and Hopf algebras and their categorical unification.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
    Readership

    Graduate students and research mathematicians interested in category theory and its use in Galois theory and Hopf algebras.
  • Table of Contents
     
     
    • Chapters
    • Michael Barr — Algebraic cohomology: The early days
    • Francis Borceux — A survey of semi-abelian categories
    • Dominique Bourn — Commutator theory in regular Mal’cev categories
    • Dominique Bourn and Marino Gran — Categorical aspects of modularity
    • Ronald Brown — Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems
    • Marta Bunge — Galois groupoids and covering morphisms in topos theory
    • S. Caenepeel — Galois corings from the descent theory point of view
    • Brian Day and Ross Street — Quantum categories, star autonomy, and quantum groupoids
    • John Duskin, Rudger Kieboom and Enrico Vitale — Morphisms of 2-groupoids and low-dimensional cohomology of crossed modules
    • Marino Gran — Applications of categorical Galois theory in universal algebra
    • Claudio Hermida — Fibrations for abstract multicategories
    • Johannes Huebschmann — Lie-Rinehart algebras, descent, and quantization
    • Peter Johnstone — A note on the semiabelian variety of Heyting semilattices
    • G. Kelly and Stephen Lack — Monoidal functors generated by adjunctions, with applications to transport of structure
    • M. Khalkhali and B. Rangipour — On the cyclic homology of Hopf crossed products
    • Gábor Lukács — On sequentially $h$-complete groups
    • John MacDonald — Embeddings of algebras
    • Andy Magid — Universal covers and category theory in polynomial and differential Galois theory
    • N. Martins-Ferreira — Weak categories in additive 2-categories with kernels
    • Thorsten Palm — Dendrotopic sets
    • Ana Roque — On factorization systems and admissible Galois structures
    • Peter Schauenburg — Hopf-Galois and bi-Galois extensions
    • Jonathan Smith — Extension theory in Mal’tsev varieties
    • Lurdes Sousa — On projective generators relative to coreflective classes
    • João Xarez — The monotone-light factorization for categories via preorders
    • João Xarez — Separable morphisms of categories via preordered sets
    • Shigeru Yamagami — Frobenius algebras in tensor categories and bimodule extensions
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Fields Institute Communications
Volume: 43; 2004; 570 pp
MSC: Primary 08; 12; 13; 14; 16; 17; 18; 19; 22

This volume is based on talks given at the Workshop on Categorical Structures for Descent and Galois Theory, Hopf Algebras, and Semiabelian Categories held at The Fields Institute for Research in Mathematical Sciences (Toronto, ON, Canada). The meeting brought together researchers working in these interrelated areas.

This collection of survey and research papers gives an up-to-date account of the many current connections among Galois theories, Hopf algebras, and semiabelian categories. The book features articles by leading researchers on a wide range of themes, specifically, abstract Galois theory, Hopf algebras, and categorical structures, in particular quantum categories and higher-dimensional structures.

Articles are suitable for graduate students and researchers, specifically those interested in Galois theory and Hopf algebras and their categorical unification.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).
Readership

Graduate students and research mathematicians interested in category theory and its use in Galois theory and Hopf algebras.
  • Chapters
  • Michael Barr — Algebraic cohomology: The early days
  • Francis Borceux — A survey of semi-abelian categories
  • Dominique Bourn — Commutator theory in regular Mal’cev categories
  • Dominique Bourn and Marino Gran — Categorical aspects of modularity
  • Ronald Brown — Crossed complexes and homotopy groupoids as non commutative tools for higher dimensional local-to-global problems
  • Marta Bunge — Galois groupoids and covering morphisms in topos theory
  • S. Caenepeel — Galois corings from the descent theory point of view
  • Brian Day and Ross Street — Quantum categories, star autonomy, and quantum groupoids
  • John Duskin, Rudger Kieboom and Enrico Vitale — Morphisms of 2-groupoids and low-dimensional cohomology of crossed modules
  • Marino Gran — Applications of categorical Galois theory in universal algebra
  • Claudio Hermida — Fibrations for abstract multicategories
  • Johannes Huebschmann — Lie-Rinehart algebras, descent, and quantization
  • Peter Johnstone — A note on the semiabelian variety of Heyting semilattices
  • G. Kelly and Stephen Lack — Monoidal functors generated by adjunctions, with applications to transport of structure
  • M. Khalkhali and B. Rangipour — On the cyclic homology of Hopf crossed products
  • Gábor Lukács — On sequentially $h$-complete groups
  • John MacDonald — Embeddings of algebras
  • Andy Magid — Universal covers and category theory in polynomial and differential Galois theory
  • N. Martins-Ferreira — Weak categories in additive 2-categories with kernels
  • Thorsten Palm — Dendrotopic sets
  • Ana Roque — On factorization systems and admissible Galois structures
  • Peter Schauenburg — Hopf-Galois and bi-Galois extensions
  • Jonathan Smith — Extension theory in Mal’tsev varieties
  • Lurdes Sousa — On projective generators relative to coreflective classes
  • João Xarez — The monotone-light factorization for categories via preorders
  • João Xarez — Separable morphisms of categories via preordered sets
  • Shigeru Yamagami — Frobenius algebras in tensor categories and bimodule extensions
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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