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Higher Algebraic K-Theory: An Overview

  • Book
  • © 1992

Overview

Authors:
  1. Emilio Lluis-Puebla
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  2. Jean-Louis Loday
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  3. Henri Gillet
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  4. Christophe Soulé
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  5. Victor Snaith
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1491)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-IX
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  2. Introduction to algebraic K-theory

    • Emilio Iluis-Puebla
    Pages 1-30

  3. Introduction to algebraic K-theory and cyclic homology

    • Jean-Louis Loday
    Pages 31-54

  4. Comparing algebraic and topological K-theory

    • Henri Gillet
    Pages 55-99

  5. Algebraic K-theory of the integers

    • Christophe SoulĂ©
    Pages 100-132

  6. Applications of group cohomology to bilinear forms

    • Victor Snaith
    Pages 133-164
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Keywords

About this book

This book is a general introduction to Higher Algebraic K-groups of rings and algebraic varieties, which were first defined by Quillen at the beginning of the 70's. These K-groups happen to be useful in many different fields, including topology, algebraic geometry, algebra and number theory. The goal of this volume is to provide graduate students, teachers and researchers with basic definitions, concepts and results, and to give a sampling of current directions of research. Written by five specialists of different parts of the subject, each set of lectures reflects the particular perspective ofits author. As such, this volume can serve as a primer (if not as a technical basic textbook) for mathematicians from many different fields of interest.

Bibliographic Information

  • Book Title: Higher Algebraic K-Theory: An Overview

  • Authors: Emilio Lluis-Puebla, Jean-Louis Loday, Henri Gillet, Christophe SoulĂ©, Victor Snaith

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0088876

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1992

  • Softcover ISBN: 978-3-540-55007-5Published: 25 March 1992

  • eBook ISBN: 978-3-540-46639-0Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 166

  • Topics: Algebra, Algebraic Topology, Number Theory, Algebraic Geometry, K-Theory

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