Higher Algebraic K-Theory: An Overview

Emilio Lluis-Puebla, Jean-Louis Loday, Henri Gillet, Christophe Soule, Victor Snaith (Autoren)

Buch | Softcover

X, 166 Seiten

1992 | 1992
Springer Berlin (Verlag)
978-3-540-55007-5 (ISBN)

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This book is a general introduction to Higher AlgebraicK-groups of rings and algebraic varieties, which were firstdefined 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 numbertheory.The goal of this volume is to provide graduate students,teachers and researchers with basic definitions, conceptsand results, and to give a sampling of current directions ofresearch.Written by five specialists of different parts of thesubject, each set of lectures reflects the particularperspective ofits author. As such, this volume can serve asa primer (if not as a technical basic textbook) formathematicians from many different fields of interest.

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.

Erscheint lt. Verlag	25.3.1992
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 166 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	267 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	cohomology • cyclic (co)homology • Homology • K-Theorie • K-theory • quadratic forms • Vector Bundles • zeta function
ISBN-10	3-540-55007-0 / 3540550070
ISBN-13	978-3-540-55007-5 / 9783540550075
Zustand	Neuware