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

DOI10.1063/1.526763zbMath0571.22022OpenAlexW1988769572WikidataQ115332204 ScholiaQ115332204MaRDI QIDQ3688598

Veena Sharma, K. C. Tripathy

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526763

zbMATH Keywords

parabolic subgroupspolarizationsIwasawa decompositionsLanglands decompositions\(F_ 4(-20)\)Kostant's induction scheme

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Cites Work

• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• On some types of topological groups
• Geometric quantization and representations of semisimple Lie groups: spin (2,1) and spin (2,2)
• Direct determination of the Langlands decompositions for the parabolic subalgebras of noncompact semisimple real Lie algebras
• Representations of semisimple Lie groups. II