Analysis on Lie Groups : an Introduction.

Analysis on Lie Groups : an Introduction.

Self-contained and elementary presentation of Lie group theory; with numerous exercises and worked examples ideal for a graduate course.

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Bibliographic Details
Main Author: Faraut, Jacques
Format: eBook
Language:English
Published: Leiden : Cambridge University Press, 2008.
Series:Cambridge studies in advanced mathematics.
Subjects:
Lie groups.
Lie groups
Online Access:Click for online access
Table of Contents:
  • Cover; Half-title; Series-title; Title; Copyright; Contents; Preface; 1 The linear group; 2 The exponential map; 3 Linear Lie groups; 4 Lie algebras; 5 Haar measure; 6 Representations of compact groups; 7 The groups SU(2) and SO(3), Haar measures, and irreducible representations; 8 Analysis on the group SU(2); 9 Analysis on the sphere and the Euclidean space; 10 Analysis on the spaces of symmetric and Hermitian matrices; 11 Irreducible representations of the unitary group; 12 Analysis on the unitary group; Bibliography; Index.

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