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Rational Representations, The Steenrod Algebra and Functor Homology
 
Vincent Franjou Université de Nantes, Nantes, France
Eric M. Friedlander Northwestern University, Evanston, IL
Teimuraz Pirashvili A. M. Razmadze Mathematical Institute, Tbilisi, Republic of Georgia
Lionel Schwartz Université Paris XIII, Villetaneuse, France
A publication of the Société Mathématique de France
Rational Representations, The Steenrod Algebra and Functor Homology
Softcover ISBN:  978-2-85629-159-7
Product Code:  PASY/16
List Price: $36.00
AMS Member Price: $28.80
Please note AMS points can not be used for this product
Rational Representations, The Steenrod Algebra and Functor Homology
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Rational Representations, The Steenrod Algebra and Functor Homology
Vincent Franjou Université de Nantes, Nantes, France
Eric M. Friedlander Northwestern University, Evanston, IL
Teimuraz Pirashvili A. M. Razmadze Mathematical Institute, Tbilisi, Republic of Georgia
Lionel Schwartz Université Paris XIII, Villetaneuse, France
A publication of the Société Mathématique de France
Softcover ISBN:  978-2-85629-159-7
Product Code:  PASY/16
List Price: $36.00
AMS Member Price: $28.80
Please note AMS points can not be used for this product
  • Book Details
     
     
    Panoramas et Synthèses
    Volume: 162004; 132 pp
    MSC: Primary 14; 18; 19; 55

    The book presents aspects of homological algebra in functor categories, with emphasis on polynomial functors between vector spaces over a finite field. With these foundations in place, the book presents applications to representation theory, algebraic topology and \(K\)-theory. As these applications reveal, functor categories offer powerful computational techniques and theoretical insights.

    T. Pirashvili sets the stage with a discussion of foundations. E. Friedlander then presents applications to the rational representations of general linear groups. L. Schwartz emphasizes the relation of functor categories to the Steenrod algebra. Finally, V. Franjou and T. Pirashvili present A. Scorichenko's understanding of the stable \(K\)-theory of rings as functor homology.

    The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

    A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

    Readership

    Graduate students and research mathematicians interested in algebra and algebraic geometry.

  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 162004; 132 pp
MSC: Primary 14; 18; 19; 55

The book presents aspects of homological algebra in functor categories, with emphasis on polynomial functors between vector spaces over a finite field. With these foundations in place, the book presents applications to representation theory, algebraic topology and \(K\)-theory. As these applications reveal, functor categories offer powerful computational techniques and theoretical insights.

T. Pirashvili sets the stage with a discussion of foundations. E. Friedlander then presents applications to the rational representations of general linear groups. L. Schwartz emphasizes the relation of functor categories to the Steenrod algebra. Finally, V. Franjou and T. Pirashvili present A. Scorichenko's understanding of the stable \(K\)-theory of rings as functor homology.

The book is suitable for graduate students and researchers interested in algebra and algebraic geometry.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

Readership

Graduate students and research mathematicians interested in algebra and algebraic geometry.

Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.