Lie Groups and Lie Algebras
Springer Berlin (Verlag)
978-3-540-68851-8 (ISBN)
Chapter VII - Cartan Subalgebras and Regular Elements: Primary Decomposition of Linear Representations.- Cartan Subalgebras and Regular Elements of a Lie Algebra.- Conjugacy Theorems.- Regular Elements of a Lie Group.- Decomposable Linear Lie Algebras.- Chapter VIII - Split Semi-Simple Lie Algebras: Root System of a Split Semi-Simple Lie Algebra.- Subalgebras of Split Semi-Simple Lie Algebras.- Automorphisms of a Semi-Simple Lie Algebra.- Modules over a Split Semi-Simple Lie Algebra.- Finite Dimensional Modules over a Split Semi-simple Lie.- Symmetric Invariants.- The Formula of Hermann Weyl.- Maximal Subalgebras.- Chevalley Orders.- Classical Splittable Simple Lie Algebras.- Chapter IX - Compact Real Lie Groups: Compact Lie Algebras.- Maximal Tori of Compact Lie Groups.- Compact Forms of Complex Semi-Simple Lie Algebras.- Root System Associated to a Compact Group. Conjugacy Classes. Integration on Compact Lie Groups.- Irreducible Representations of connected compact Lie Groups.- Fourier Transform.- Compact Lie Groups Operating on Manifolds.- Appendices.
Erscheint lt. Verlag | 30.9.2008 |
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Reihe/Serie | Elements of Mathematics |
Zusatzinfo | XI, 434 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 674 g |
Themenwelt | Mathematik / Informatik ► Mathematik |
Schlagworte | Algebra • Harmonic Analysis • Lie algebra • Lie groups • Liesche Algebren/Gruppen • Mathematik; Handbuch/Lehrbuch • Representation Theory • root system |
ISBN-10 | 3-540-68851-X / 354068851X |
ISBN-13 | 978-3-540-68851-8 / 9783540688518 |
Zustand | Neuware |
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