Contractions of rotation groups and their representations

DOI10.1017/S030500410000089XzbMath0532.22014OpenAlexW2164378090MaRDI QIDQ3314079

John W. Rice, Anthony H. Dooley

Publication date: 1983

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030500410000089x

zbMATH Keywords

limitsrepresentationsspecial functionscontractionsde Sitter groupGalilei groupEuclidean group\(S0(n+1)\)

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (9)

On Contractions of Semisimple Lie Groups ⋮ Synchronization over Cartan Motion Groups via Contraction ⋮ Algebraic families of groups and commuting involutions ⋮ On the contraction of the discrete series of \(SU(1,1)\) ⋮ Contraction of compact semisimple Lie groups via Berezin quantization ⋮ An extension of deLeeuw's theorem to the \(n\)-dimensional rotation group ⋮ Berezin symbols and spectral measures of representation operators ⋮ A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\) ⋮ The contraction of K to \=NM

Cites Work

• Lie theory and special functions
• Contraction of Lie Groups
• On the Contraction of Groups and Their Representations
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