Basic Lie Theory

Basic Lie Theory
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Artikel-Nr:
9789812706997
Veröffentl:
2007
Erscheinungsdatum:
01.11.2007
Seiten:
444
Autor:
Martin Moskowitz
Gewicht:
644 g
Format:
227x154x22 mm
Sprache:
Englisch
Beschreibung:

Offering a treatment appropriate for a graduate-level course in Lie groups and Lie algebras, Hossein (Max Planck Institute for Math, Germany) and Moskowitz (City U. of New York) have excluded some subjects, among them the theory of faithful represntation, classification of the complex cimple Lie algebras, universal enveloping algebra, weyl character formula, and branching theorems. Students would be well served by a graduate course in topology first. The book includes exercises (no answers). Thorough indexing makes the text useful as a reference as well as a coursebook.
Lie Groups and Lie Algebras: Introduction; Lie Groups; Haar Measure and its Applications; Elements of the Theory of Lie Algebras; The Structure of Compact Connected Lie Groups; Representations of Compact Lie Groups; Symmetric Spaces of Non-Compact Type; Semisimple Lie Algebras and Lie Groups; Lattices in Lie Groups; Density Results for Co-Finite Volume Subgroups.

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