Compact Lie Groups: 235 (Graduate Texts in Mathematics) - Tapa blanda

Libro 77 de 180: Graduate Texts in Mathematics

Sepanski, Mark R. R.

 
9781441921383: Compact Lie Groups: 235 (Graduate Texts in Mathematics)
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ISBN 10: 1441921389 ISBN 13: 9781441921383
Editorial: Springer, 2010

Sinopsis

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.

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De la contraportada

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. Included is 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 necessary Lie algebra theory is also developed in the text with a streamlined approach focusing on linear Lie groups.

Key Features:

Provides an approach that minimizes advanced prerequisites

Self-contained and systematic exposition requiring no previous exposure to Lie theory

Advances quickly to the Peter Weyl Theorem and its corresponding Fourier theory

Streamlined Lie algebra discussion reduces the differential geometry prerequisite and allows a more rapid transition to the classification and construction of representations

Exercises sprinkled throughout

 

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2010
Idioma
Inglés
ISBN 10 
1441921389
ISBN 13 
9781441921383
Encuadernación
Tapa blanda
Número de páginas
212
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9780387302638: Compact Lie Groups: 235 (Graduate Texts in Mathematics, 235)

Edición Destacada

ISBN 10:  0387302638 ISBN 13:  9780387302638
Editorial: Springer, 2007
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