Geometric quantization and UIR’s of semisimple Lie groups. III. Principal and supplementary series

DOI10.1063/1.525405zbMath0512.22021OpenAlexW2063507909WikidataQ115332566 ScholiaQ115332566MaRDI QIDQ4750893

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/10.1063/1.525405

zbMATH Keywords

geometric quantizationharmonic formsspin grouppositive polarizationAuslander and Kostant's theoryL2-cohomology groupprincipal and supplementary series

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) Geometric quantization (53D50)

Cites Work

• Geometric quantization and UIR’s of semisimple Lie groups. II. Discrete series
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