On the representation of the determinant of Harish-Chandra's \(C\)-function of \(\text{SL}(n,\mathbb{R})\)

DOI10.2140/PJM.1992.153.343zbMath0784.22007OpenAlexW2093323912MaRDI QIDQ1207875

Shohei Tanaka

Publication date: 16 May 1993

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1992.153.343

zbMATH Keywords

principal series representationsirreducibilityconnected semisimple Lie group\(\Gamma\)- functionsHarish-Chandra \(C\)-function

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semisimple Lie groups and their representations (22E46)

Related Items (1)

An explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the \(\text{Ad}(K)\) representation

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