Representations of Compact Lie Groups

1. Auflage 1985. 3rd printing 2003
ISBN: 978-3-540-13678-1
Verlag: Springer

Buch, Englisch, 316 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1420 g

Reihe: Graduate Texts in Mathematics

This introduction to the representation theory of compact Lie groups follows Herman Weyl’s original approach. It discusses all aspects of finite-dimensional Lie theory, consistently emphasizing the groups themselves. Thus, the presentation is more geometric and analytic than algebraic. It is a useful reference and a source of explicit computations. Each section contains a range of exercises, and 24 figures help illustrate geometric concepts.

Zielgruppe

Graduate

Autoren/Hrsg.

Bröcker, T.

Dieck, T.tom

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

I Lie Groups and Lie Algebras.- II Elementary Representation Theory.- III Representative Functions.- IV The Maximal Torus of a Compact Lie Group.- V Root Systems.- VI Irreducible Characters and Weights.- Symbol Index.