By (author) P. M. Cohn
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Lie Group by P. M. Cohn
Book DescriptionThe theory of Lie groups rests on three pillars: analysis, topology and algebra. Correspondingly it is possible to distinguish several phases, overlapping in some degree, in its development. It also allows one to regard the subject from different points of view, and it is the algebraic standpoint which has been chosen in this tract as the most suitable one for a first introduction to the subject. The aim has been to develop the beginnings of the theory of Lie groups, especially the fundamental theorems of Lie relating the group to its infinitesimal generators (the Lie algebra); this account occupies the first five chapters. Next to Lie's theorems in importance come the basic properties of subgroups and homomorphisms, and they form the content of Chapter VI. The final chapter, on the universal covering group, could perhaps be most easily dispensed with, but, it is hoped, justifies its existence by bringing back into circulation Schreier's elegant method of constructing covering groups.
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Book DetailsISBN: 9780521092982
(216mm x 140mm x 10mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 8-Jan-2009
Country of Publication: United Kingdom
Books By Author P. M. Cohn
Skew Fields, Paperback (May 2008)
This work offers a comprehensive account of skew fields and related mathematics.
Free Ideal Rings and Localization in General Rings, Hardback (June 2006)
This book presents the theory of free ideal rings (firs) in detail.
Classic Algebra, Paperback (August 2000)» View all books by P. M. Cohn
Fundamental to all areas of mathematics, algebra provides the cornerstone for the studenta s development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the authora s classic three--volume set, Algebra, has been regarded by many as the most outstanding introductory work available.
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