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Compact Lie Groups and Their Representations

Door D.P. Zelobenko

Categorie
Algemeen wetenschap
Boeknummer
#341994-ZA22
Titel
Compact Lie Groups and Their Representations
Auteur
Zelobenko, D.P.
Boektype
Paperback
Uitgeverij
Providence, RI : American Mathematical Society
Jaar van uitgave
circa 1991
ISBN10
0821815903
ISBN13
9780821815908
Taal
Engels
Beschrijving
Paperback, illustrated with numerous equations and diagrams, 8vo. Translations of Mathematical Monographs, 40.
Samenvatting
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 cla... (Lees verder)sses 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.
Pagina's
448
Conditie
Goed — Name in pen on title page.
Prijs
€ 40,00

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