Higher Algebraic K-theory : an overview
著者
書誌事項
Higher Algebraic K-theory : an overview
(Lecture notes in mathematics, 1491)
Springer-Verlag, c1992
- : gw
- : us
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注記
Paper based on lectures delivered during the First Seminar on Algebraic K-theory at the Universidad Nacional Autonoma de México in 1985
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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