Szegö mappings, harmonic forms, and Dolbeault cohomology
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 \(\text{rank\;}(L)=\text{real rank }(G)\).
scientific article; zbMATH DE number 515253
scientific article