Cycle Spaces of Real Forms of SLn(ℂ)

Alan T. Huckleberry () and Joseph A. Wolf ()
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Alan T. Huckleberry: Ruhr-Universität Bochum, Fakultät für Mathematik
Joseph A. Wolf: University of California, Department of Mathematics

A chapter in Complex Geometry, 2002, pp 111-133 from Springer

Abstract: Abstract Let us introduce the notation and goals of this paper in the context of an example. For this let the complex Lie group G ℂ = SL3(ℂ) act on the complex projective space Z = ℙ2 (ℂ) in the usual way and consider the induced action of the real form GR = SL3(ℝ). The latter has only two orbits on Z, the set M = ℙ2 (ℝ) of real points, and its complement D.

Keywords: 2000; Mathematics Subject Classification; 32M05; 14C25 (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-3-642-56202-0_8

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