Deformation program for principal series representations
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Publication:1906261
DOI10.1007/BF00403252zbMath0843.22020MaRDI QIDQ1906261
Publication date: 11 March 1996
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Fourier transformparametrizationcotangent bundlePlancherel formulanilpotent Lie groupcoadjoint orbitsemisimple Lie groupprincipal series representationscompact Lie groupWeyl correspondenceBerezin symbolic calculusGutt's star productprincipal series orbits
Semisimple Lie groups and their representations (22E46) Deformations of general structures on manifolds (58H15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30)
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Non-formal star-exponential on contracted one-sheeted hyperboloids, Berezin quantization and holomorphic representations, Homogeneous star products and closed integral formulas, Formal deformations and principal series representations of ${\rm SL}(2,{\mathbb R})$ and ${\rm SL}(2,{\mathbb C})$, Contractions of \(\mathrm{SU}(1,n)\) and \(\mathrm{SU}(n+1)\) via Berezin quantization, Berezin quantization for holomorphic discrete series representations: the non-scalar case, Contraction of compact semisimple Lie groups via Berezin quantization, Weyl quantization for semidirect products, A contraction of the principal series representations of \(\mathrm{SL}(2,\mathbb{R})\), Unnamed Item, Kontsevich star products on the cotangent bundle of a Lie group and integral formulae
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