The oscillator character formula for isometry groups of split forms in deep stable range
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Publication:1909578
DOI10.1007/s002220050032zbMath0845.22007OpenAlexW4248224128MaRDI QIDQ1909578
Tomasz Przebinda, Andrzej Daszkiewicz
Publication date: 8 May 1996
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/144351
unitary representationsirreducible representationsbijectiondual pairsHowe's correspondenceintegral kernel operatordistribution characters
Applications of Lie groups to the sciences; explicit representations (22E70) Representations of Lie and linear algebraic groups over local fields (22E50)
Related Items (6)
The oscillator correspondence of orbital integrals, for pairs of type one in the stable range ⋮ The character and the wave front set correspondence in the stable range ⋮ The Cauchy Harish-Chandra integral, for the pair \({\mathfrak u}_{p,q},{\mathfrak u}_1\) ⋮ Dual pairs and Kostant-Sekiguchi correspondence. II: Classification of nilpotent elements ⋮ Local theta lifting of generalized Whittaker models associated to nilpotent orbits ⋮ Dual pairs and Kostant-Sekiguchi correspondence. I
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