Emilio Lluis-Puebla, Jean-Louis Loday, Henri Gillet, Christophe Soule, Victor Snaith
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...
This book is a general introduction to Higher AlgebraicK-groups of rings and algebraic varieties, which were firstdefined by Quillen at the beginning ...
From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cyclic sets and S1-spaces. Lie algebras and algebraic K-theory and an introduction to Connes'work and recent results on the Novikov conjecture. The book requires a knowledge of homological algebra and Lie algebra theory as well as basic technics coming from algebraic topology. The bibliographic comments at the end of each chapter offer good suggestions for further reading and research. The book can be strongly recommended to anybody interested in...
From the reviews: "This is a very interesting book containing material for a comprehensive study of the cyclid homological theory of algebras, cycl...