Higher Algebraic K-Theory: An Overview

1992
ISBN: 978-3-540-55007-5
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1491, 166 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 277 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Lluis-Puebla, Emilio

Loday, Jean-Louis

Snaith, Victor

Gillet, Henri

Soule, Christophe

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie

Inhaltsverzeichnis

to algebraic K-theory.- to algebraic K-theory and cyclic homology.- Comparing algebraic and topological K-theory.- Algebraic K-theory of the integers.- Applications of group cohomology to bilinear forms.