Geometric quantization and representations of semisimple Lie groups: spin (2,1) and spin (2,2)

DOI10.1063/1.525338zbMath0489.22017OpenAlexW2033843360WikidataQ115332569 ScholiaQ115332569MaRDI QIDQ3950756

B. R. Sitaram, K. C. Tripathy

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525338

zbMATH Keywords

semisimple Lie groupsunitary irreducible representationsdiscrete seriesprincipal seriesspin groupnoncompact groups

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46)

Related Items (1)

Satake diagrams, Iwasawa decompositions, and representations of the exceptional Lie group F4(−20)

Cites Work

• On a conjecture of Langlands
• Master analytic representations and unified representation theory of certain orthogonal and pseudo-orthogonal groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Direct determination of the Langlands decompositions for the parabolic subalgebras of noncompact semisimple real Lie algebras

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