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General Hypergeometric Functions of Matrices and their Connection to Representations of Linear Groups and Lie Algebras

✍ Scribed by M. I. Graev


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
311 KB
Volume
86
Category
Article
ISSN
0167-8019

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Discrete Cocompact Subgroups of the Four
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Let G 4 be the unique, connected, simply connected, four-dimensional, nilpotent Lie group. In this paper, the discrete cocompact subgroups H of G 4 are classified and shown to be in 1-1 correspondence with triples p 1 p 2 p 3 ∈ 3 that satisfy p 2 p 3 > 0 and a certain restriction on p 1 . The K-grou