Softcover ISBN:  9782856291597 
Product Code:  PASY/16 
List Price:  $36.00 
AMS Member Price:  $28.80 

Book DetailsPanoramas et SynthèsesVolume: 16; 2004; 132 ppMSC: 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.ReadershipGraduate students and research mathematicians interested in algebra and algebraic geometry.

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