The character of the exceptional series of representations of SU(1,1)

DOI10.1063/1.533149zbMath0981.22002arXivhep-th/9906066OpenAlexW3099603474MaRDI QIDQ2737831

K. V. Shajesh, Subrata Bal, Debabrata Basu

Publication date: 30 August 2001

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9906066

zbMATH Keywords

momentum spaceSL(2,R)SU(1,1)supplementary seriesexceptional series

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Semisimple Lie groups and their representations (22E46) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

Cohomology and decomposition of tensor product representations of \(\text{SL}(2,\mathbb R)\)

Cites Work

• Irreducible unitary representations of the Lorentz group
• Note on the representation spaces of O(2,1)
• A unified treatment of the characters of SU(2) and SU(1,1)
• On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory

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