Graduate Text in Mathematics - Couverture rigide

Sepanski, Mark R.

Couverture rigide

ISBN 10 : 0387302638 ISBN 13 : 9780387302638

Editeur : Springer-Verlag New York Inc., 2006

Synopsis

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.

This beginning graduate level text, aimed primarily at Lie Groups courses and related topics, assumes familiarity with elementary concepts from group theory, analysis, and manifold theory. Students, research mathematicians, and physicists interested in Lie theory will find this text very useful.

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2006
• Langue: anglais
• ISBN 10: 0387302638
• ISBN 13: 9780387302638
• Reliure: Relié
• Nombre de pages: 214
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne