Szegö mappings, harmonic forms, and Dolbeault cohomology
type: Item
instance of: scholarly article
title: Szegö mappings, harmonic forms, and Dolbeault cohomology
zbMATH Open document ID: 0840.22022
published in: Journal of Functional Analysis
publication date: 1996-06-26T00:00:00Z
review text: Let \(G\) be a semisimple Lie group, \(T\) a torus in the maximal compact subgroup of \(G\) and \(L\) the centralizer of \(T\) in \(G\). The author constructs an explicit intertwining operator from derived functor modules into Dolbeault cohomology on \(G/L\). The paper generalizes previous results of the author, \textit{A. W. Knapp} and \textit{R. Zierau} [ibid. 107, 302-341 (1992; Zbl 0761.22015)], which were obtained under the condition real \(\text{rank\;}(L)=\text{real rank }(G)\).
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 32L10
Mathematics Subject Classification ID: 57T15
zbMATH DE Number: 515253
zbMATH Keywords: Lie group
zbMATH Keywords: torus
zbMATH Keywords: intertwining operator
zbMATH Keywords: Dolbeault cohomology
author: L. Barchini
reviewed by: Guy Roos
MaRDI profile type: Publication
full work available at URL: jfan.1993.1148
OpenAlex ID: W2089930603
DOI: 10.1006/JFAN.1993.1148
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description: scientific article; zbMATH DE number 515253