Compact Lie Groups and Their Representations: 040 (Translations of Mathematical Monographs) - Tapa blanda

American Mathematical Society

 
9780821815908: Compact Lie Groups and Their Representations: 040 (Translations of Mathematical Monographs)
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ISBN 10: 0821815903 ISBN 13: 9780821815908
Editorial: American Mathematical Society, 1973

Sinopsis

The contents of this volume are somewhat different from the traditional connotations of the title. First, the author, bearing in mind the needs of the physicist, has tried to make the exposition as elementary as possible. The need for an elementary exposition has influenced the distribution of the material; the book is divided into three largely independent parts, arranged in order of increasing difficulty. Besides compact Lie groups, groups with other topological structure ('similar' to compact groups in some sense) are considered.Prominent among these are reductive complex Lie groups (including semisimple groups), obtained from compact Lie groups by analytic continuation, and also their real forms (reductive real Lie groups). The theory of finite-dimensional representation for these classes of groups is developed, striving whenever possible to emphasize the 'compact origin' of these representations, i.e. their analytic relationship to representations of compact Lie groups. Also studied are infinite-dimensional representations of semisimple complex Lie algebras. Some aspects of the theory of infinite-dimensional representations of Lie groups are presented in a brief survey.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

The contents of this volume are somewhat different from the traditional connotations of the title. First, the author, bearing in mind the needs of the physicist, has tried to make the exposition as elementary as possible. The need for an elementary exposition has influenced the distribution of the material; the book is divided into three largely independent parts, arranged in order of increasing difficulty. Besides compact Lie groups, groups with other topological structure ('similar' to compact groups in some sense) are considered.Prominent among these are reductive complex Lie groups (including semisimple groups), obtained from compact Lie groups by analytic continuation, and also their real forms (reductive real Lie groups). The theory of finite-dimensional representation for these classes of groups is developed, striving whenever possible to emphasize the 'compact origin' of these representations, i.e. their analytic relationship to representations of compact Lie groups. Also studied are infinite-dimensional representations of semisimple complex Lie algebras. Some aspects of the theory of infinite-dimensional representations of Lie groups are presented in a brief survey.

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

Editorial
American Mathematical Society
Año de publicación
1973
Idioma
Inglés
ISBN 10 
0821815903
ISBN 13 
9780821815908
Encuadernación
Tapa blanda
Contacto del fabricante
no disponible
Persona responsable
no disponible