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- Publisher
- Springer Journals
- Copyright
- Copyright © 2004 by Kluwer Academic Publishers
- Subject
- Mathematics; Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Complex Systems; Classical Mechanics
- ISSN
- 0167-8019
- eISSN
- 1572-9036
- DOI
- 10.1023/B:ACAP.0000024200.06956.f3
- Publisher site
- See Article on Publisher Site
Abstract
For the hyperboloid of one sheet X=G/H, G=SO0(1,2), H=SO0(1,1), canonical representations R λ,ν, λ∈C, ν=0,1, are defined as the restrictions to G of representations of the overgroup $$\tilde G$$ =SO0(2,2) associated with a cone. They act on the torus containing two copies of X as open G-orbits. We study boundary representations generated by R λ,ν. For some λ, they contain Jordan blocks. The decomposition of R λ,ν into irreducible constituents includes a finite number (depending on λ) of irreducible parts of the boundary representations.
Journal
Acta Applicandae Mathematicae – Springer Journals
Published: Oct 18, 2004