Okamoto / Oshima Representations of Lie Groups, Kyoto, Hiroshima, 1986

1. Auflage 2014
ISBN: 978-1-4832-5757-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 672 Seiten, Web PDF

Reihe: Advanced Studies in Pure Mathematics

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.

Autoren/Hrsg.

Okamoto, K.

Oshima, T.