The book gives a comprehensive account of the basic algebraic properties of the classical groups over rings. Much of the theory appears in book form for the first time, and most proofs are given in detail. The book also includes a revised and expanded version of Dieudonne's classical theory over division rings. The authors analyse congruence subgroups, normal subgroups and quotient groups, they describe their isomorphisms and investigate connections with linear and hermitian Ktheory. A first insight is offered through the simplest case of the general linear group. All the other classical groups, notably the symplectic, unitary and orthogonal groups, are dealt with uniformly as isometry groups of generalized quadratic modules. New results on the unitary Steinberg groups, the associated K2groups and the unitary symbols in these groups lead to simplified presentation theorems for the classical groups. Related material such as the Ktheory exact sequences of Bass and Sharpe and the MerkurjevSuslin theorem is outlined. From the foreword by J. Dieudonne: "All mathematicians interested in classical groups should be grateful to these two outstanding investigators for having brought together old and new results (many of them their own) into a superbly organized whole. I am confident that their book will remain for a long time the standard reference in the theory."
About Alexander J. Hahn
Regrettably, currently we simply can't supply you with information about your Founder Alexander J. Hahn. However doesn't imply that individuals fail to work on the series. We also inquire that you simply assist us within this issue. Should you have spare time and desire will immensely value in case you present to people the information. Any time acquiring this kind of feedback and details coming from consumers regarding the The Classical Groups and Ktheory Founder Alexander J. Hahn, most of us initial her check out. As soon as we ensure that all correct, just submit the idea. Many of us see why help in addition to appreciate it in advance.Details Book
Author  :  Alexander J. Hahn 
Publisher  :  SpringerVerlag Berlin and Heidelberg GmbH 
Data Published  :  11 May 2011 
ISBN  :  3642057373 
EAN  :  9783642057373 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  576 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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