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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
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DOI10.32917/HMJ/1206128610zbMath0760.22015OpenAlexW1557430279MaRDI QIDQ1199185

Masaaki Eguchi, Shohei Tanaka

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


zbMATH Keywords

intertwining operatorssemisimple Lie groupprincipal series representationsexplicit formuladeterminant of Harish-Chandra's \(C\)-function


Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)


Related Items (2)

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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