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.
Series: Lecture Notes in Mathematics
Number Of Pages: 166
Published: 25th March 1992
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6
Weight (kg): 0.25