Generalized Bessel series and multiplicity problem in complex semisimple Lie algebra theory

DOI10.1063/1.524780zbMath0488.33010OpenAlexW1990883376WikidataQ115332642 ScholiaQ115332642MaRDI QIDQ3949301

C. Bretin, Jean-Pierre Gazeau

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1063/1.524780

zbMATH Keywords

complex semisimple Lie algebrasBessel seriesouter multiplicity problem

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

• The maximal subgroups of the classical groups
• Gel’fand lattice polynomials and irreducible representations of U(n)