Representations of Lie Groups, Kyoto, Hiroshima, 1986:

Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from...

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1. Verfasser: Okamoto, K. (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Kent Elsevier Science 2014
Schriftenreihe:Advanced Studies in Pure Mathematics v.14
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Online-Zugang:FAW01
Zusammenfassung:Representations of Lie Groups, Kyoto, Hiroshima, 1986 contains the proceedings of a symposium on "Analysis on Homogeneous Spaces and Representations of Lie Groups" held on September 1-6, 1986 in Japan. The symposium provided a forum for discussing Lie groups and covered topics ranging from geometric constructions of representations to the irreducibility of discrete series representations for semisimple symmetric spaces. A classification theory of prehomogeneous vector spaces is also described.Comprised of 22 chapters, this volume first considers the characteristic varieties of certain modules over the enveloping algebra of a semisimple Lie algebra, such as highest weight modules and primitive quotients. The reader is then introduced to multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series. Subsequent chapters focus on Lie algebra cohomology and holomorphic continuation of generalized Jacquet integrals; the generalized Geroch conjecture; algebraic structures on virtual characters of a semisimple Lie group; and fundamental groups of semisimple symmetric spaces. The book concludes with an analysis of the boundedness of certain unitarizable Harish-Chandra modules.This monograph will appeal to students, specialists, and researchers in the field of pure mathematics
Beschreibung:Description based on publisher supplied metadata and other sources
Beschreibung:1 online resource (673 pages)
ISBN:9781483257570
9780125251006