u{sub q}(2,1) noncompact quantum algebra: Intermediate discrete series of unitary irreducible representations
Journal Article
·
· Physics of Atomic Nuclei
- Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
- Institute of Physics and Power Engineering (Russian Federation)
The unitary irreducible representations of the u{sub q}(2,1) quantum algebra that belong to the intermediate discrete series are considered. The q analog of the Mickelsson-Zhelobenko algebra is developed. Use is made of the U basis corresponding to the reduction u{sub q}(2,1) superset of u{sub q}(2). Explicit formulas for the matrix elements of the generators are obtained in this basis. The projection operator that projects an arbitrary vector onto the extremal vector of the intermediate-series representation is found.
- OSTI ID:
- 21076045
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 6 Vol. 69; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
Similar Records
Discrete series of unitary irreducible representations of the U{sub q}(u(3, 1)) and U{sub q}(u(n, 1)) noncompact quantum algebras
The unitary irreducible representations of SU(2,1)
Bases for the Irreducible Representations of the Unitary Groups and Some Applications
Journal Article
·
Wed Jun 15 00:00:00 EDT 2011
· Physics of Atomic Nuclei
·
OSTI ID:22043915
The unitary irreducible representations of SU(2,1)
Journal Article
·
Sun Jul 01 00:00:00 EDT 1990
· Journal of Mathematical Physics (New York); (USA)
·
OSTI ID:7093511
Bases for the Irreducible Representations of the Unitary Groups and Some Applications
Journal Article
·
Sun Sep 01 00:00:00 EDT 1963
· Journal of Mathematical Physics (New York) (U.S.)
·
OSTI ID:4632075