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Lie Group

Name: Lie Group
Brand: Cambridge University Press
SKU: 02021078
Price: 24024 HUF
Availability: InStock
Author: P. M. Cohn
ISBN: 9780521092982

P. M. Cohn

Language

English

Book Paperback

Libristo code: 02021078

Publishers Cambridge University Press, January 2009

The theory of Lie groups rests on three pillars: analysis, topology and algebra. Correspondingly it... Full description

Libristo code: 02021078

164 b

24 024 Ft

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The 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.