Soergel, Wolfgang The combinatorics of Harish-Chandra bimodules. (English) Zbl 0745.22014 J. Reine Angew. Math. 429, 49-74 (1992). I describe the category of Harish-Chandra modules for complex reductive groups in a combinatorial way. This generalizes work of Gelfand-Ponomarev who considered \(SL(2,\mathbb{C})\) and work of myself on the combinatorics of category \(\mathcal O\). As a byproduct, I obtain a new interpretation of the Kazhdan-Lusztig basis for Hecke algebras. Reviewer: W.Soergel (Bonn) Cited in 4 ReviewsCited in 83 Documents MSC: 22E47 Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) 22E30 Analysis on real and complex Lie groups Keywords:Harish-Chandra modules; complex reductive groups; Kazhdan-Lusztig basis; Hecke algebras PDFBibTeX XMLCite \textit{W. Soergel}, J. Reine Angew. Math. 429, 49--74 (1992; Zbl 0745.22014) Full Text: DOI Crelle EuDML