摘要: This article is an expanded version of lectures at the “Fifth Workshop on Representation Theory Lie Groups and Its Applications,” Cordoba, Argentina, August 1995. The topics were complex flag manifolds, real group orbits, linear cycle spaces, with applications to geometric construction representations semisimple groups. These come up in many aspects differential geometry harmonic analysis.
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sci-hub.st 参考文章(59)
Aldo Andreotti, Hans Grauert, Théorèmes de finitude pour la cohomologie des espaces complexes Bulletin de la Société mathématique de France. ,vol. 79, pp. 193- 259 ,(1962) , 10.24033/BSMF.1581
Joseph A. Wolf, Roger Zierau, Riemannian exponential maps and decompositions of reductive Lie groups Topics in geometry. pp. 349- 354 ,(1996) , 10.1007/978-1-4612-2432-7_14
Nolan R Wallach, Real Reductive Groups II ,(1988)
Veervallis S. Varadarajan, Harmonic analysis on real reductive groups ,(1977)
Nolan R. Wallach, Real reductive groups Academic Press. ,(1988)
Rebecca Herb, Joseph Albert Wolf, The Plancherel theorem for general semisimple groups Compositio Mathematica. ,vol. 57, pp. 271- 355 ,(1986)
R. O. Wells, Parametrizing the compact submanifolds of a period matrix domain by a Stein manifold Lecture Notes in Mathematics. pp. 121- 150 ,(1971) , 10.1007/BFB0059282
Armand Borel, Linear algebraic groups ,(1991)
Harish-Chandra, Discrete series for semisimple Lie groups I: Construction of invariant eigendistributions Acta Mathematica. ,vol. 113, pp. 241- 318 ,(1965) , 10.1007/BF02391779
Joseph A. Wolf, Alfred Gray, Homogeneous spaces defined by Lie group automorphisms. I Journal of Differential Geometry. ,vol. 2, pp. 77- 114 ,(1968) , 10.4310/JDG/1214501139