The explicit representation of the determinant of Harish-Chandra's \(C\)- function in \(SL(3,\mathbb{R})\) and \(SL(4,\mathbb{R})\) cases
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Publication:1199185
DOI10.32917/HMJ/1206128610zbMath0760.22015OpenAlexW1557430279MaRDI QIDQ1199185
Publication date: 16 January 1993
Published in: Hiroshima Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.32917/hmj/1206128610
intertwining operatorssemisimple Lie groupprincipal series representationsexplicit formuladeterminant of Harish-Chandra's \(C\)-function
Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
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A second adjoint theorem for \SL(2,ℝ) ⋮ An explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the \(\text{Ad}(K)\) representation
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