Lie Group - P. M. Cohn

Lie Group

(Autor)

Buch | Softcover
176 Seiten
2009
Cambridge University Press (Verlag)
978-0-521-09298-2 (ISBN)
53,60 inkl. MwSt
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.

1. Analytic manifolds; 2. Topological groups and Lie groups; 3. The Lie algebra of a Lie group; 4. The algebra of differential forms; 5. Lie's Fundamental Theorems; 6. Subgroups and homomorphisms; 7. The universal covering group.

Erscheint lt. Verlag 8.1.2009
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 140 x 216 mm
Gewicht 230 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-521-09298-1 / 0521092981
ISBN-13 978-0-521-09298-2 / 9780521092982
Zustand Neuware
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