ISBN:978-7-04-026626-9
出版时间:2009-10-12
语种:英文
开本:16
页数:517
Cohomology of Groups and Algebraic K-the
作 者:季理真 刘克峰 丘成桐
定价:  69.00元 购买
  • 内容简介

    Cohomology of groups is a fundamental tool in many subjects in modernmathematics. One important generalized cohmnology theory is the algebraic Ktheory,and algebraic K-groups of rings such as rings of integers and group ringsare important invariants of the rings. They have played important roles in algebra,geometric and algebraic topology, number theory, representation theory etc. Cohomologyof groups and algebraic K-groups are also closely related. For example,algebraic K-groups of rings of integers in number fields can be effectively studiedby using cohomology of arithmetic groups.

关键词 数学类
目录
内封   
PDF (2 MB) (
版权   
PDF (83 KB) (
目录   
PDF (44 KB) (
前辅文   
PDF (117 KB) (
Arthur Bartels and Wolfgang LÄuck : On Crossed Product Rings with Twisted Involutions, Their Module Categories and L-Theory   
摘要   PDF (415 KB) ( ) P. 1-54
Oliver Baues : Deformation Spaces for A±ne Crystallographic Groups   
摘要   PDF (506 KB) ( ) P. 55-130
Kenneth S. Brown : Lectures on the Cohomology of Groups   
摘要   PDF (293 KB) ( ) P. 131-166
Daniel R. Grayson : A Brief Introduction to Algebraic K-Theory   
摘要   PDF (278 KB) ( ) P. 167-186
Daniel Juan-Pineda and Silvia Millan-L¶opez : The Braid Groups of RP2 Satisfy the Fibered Isomorphism Conjecture   
摘要   PDF (185 KB) ( ) P. 187-196
Max Karoubi : K-Theory, an Elementary Introduction   
摘要   PDF (220 KB) ( ) P. 197-216
Max Karoubi : Lectures on K-Theory   
摘要   PDF (398 KB) ( ) P. 217-268
Wolfgang LÄuck : On the Farrell-Jones and Related Conjectures   
摘要   PDF (485 KB) ( ) P. 269-342
Stratos Prassidis : Introduction to Controlled Topology and Its Applications   
摘要   PDF (359 KB) ( ) P. 343-386
Hourong Qin : Lecture Notes on K-Theory   
摘要   PDF (281 KB) ( ) P. 387-412
Daniel Quillen : Higher Algebraic K-Theory: I   
摘要   PDF (489 KB) ( ) P. 413-478
Daniel Quillen : Finite Generation of the Groups Ki of Rings of Algebraic Integers   
摘要   PDF (211 KB) ( ) P. 479-488
David Rosenthal : A User's Guide to Continuously Controlled Algebra   
摘要   PDF (201 KB) ( ) P. 489-502
Christophe Soul¶e(Notes by Marco Varisco) : Higher K-Theory of Algebraic Integers and the Cohomology of Arithmetic Groups   
摘要   PDF (30 MB) ( ) P. 503-517
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