Buch, Englisch, 201 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 534 g
Buch, Englisch, 201 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 534 g
Reihe: Graduate Texts in Mathematics
ISBN: 978-0-387-30263-8
Verlag: Springer
Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups. Assuming no prior knowledge of Lie groups, this book covers the structure and representation theory of compact Lie groups. Coverage includes the construction of the Spin groups, Schur Orthogonality, the Peter-Weyl Theorem, the Plancherel Theorem, the Maximal Torus Theorem, the Commutator Theorem, the Weyl Integration and Character Formulas, the Highest Weight Classification, and the Borel-Weil Theorem. The book develops the necessary Lie algebra theory with a streamlined approach focusing on linear Lie groups.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie
- Mathematik | Informatik Mathematik Algebra Homologische Algebra
- Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
- Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
Weitere Infos & Material
Compact Lie Groups.- Representations.- HarmoniC Analysis.- Lie Algebras.- Abelian Lie Subgroups and Structure.- Roots and Associated Structures.- Highest Weight Theory.
