Lluis-Puebla / Loday / Gillet Higher Algebraic K-Theory: An Overview

Erscheinungsjahr 2006
ISBN: 978-3-540-46639-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 1491, 166 Seiten, eBook

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

Gillet, Henri

Soule, Christophe

Snaith, Victor

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.