Branson, Thomas; Hong, Doojin Spectrum generating on twistor bundle. (English) Zbl 1164.53358 Arch. Math., Brno 42, No. 5, 169-183 (2006). Summary: The spectrum generating technique introduced by T. Branson, G. Ólafsson and B. Ørsted [J. Funct. Anal. 135, 163–205 (1996; Zbl 0841.22011)] provides an efficient way to construct certain intertwinors when \(K\)-types are of multiplicity at most one. Intertwinors on the twistor bundle over \(S^1\times S^{n-1}\) have some \(K\)-types of multiplicity 2. Making use of the spectrum generating technique, we give (with some additional calculation) explicit formulas for these intertwinors of all orders. MSC: 53C28 Twistor methods in differential geometry 22E46 Semisimple Lie groups and their representations Keywords:conformal geometry; spinors; twistor; intertwinors; Dirac operator; spectrum of Dirac operator PDF BibTeX XML Cite \textit{T. Branson} and \textit{D. Hong}, Arch. Math., Brno 42, No. 5, 169--183 (2006; Zbl 1164.53358) Full Text: EMIS EuDML arXiv