Unitary representations with non-zero cohomology
David A. Vogan, Gregg J. Zuckerman (1984)
Compositio Mathematica
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David A. Vogan, Gregg J. Zuckerman (1984)
Compositio Mathematica
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Adler, Jeffrey D., Roche, Alan (2005)
Journal of Lie Theory
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Groza, Valentyna A. (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Wolf, Joseph A.
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[For the entire collection see Zbl 0742.00067.]Let be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of on Dolbeault cohomology spaces and the tempered series of representations of on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric...
Michael Pevzner (2012)
Annales mathématiques Blaise Pascal
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This is an extended version of a lecture given by the author at the summer school “Quasimodular forms and applications” held in Besse in June 2010. The main purpose of this work is to present Rankin-Cohen brackets through the theory of unitary representations of conformal Lie groups and explain recent results on their analogues for Lie groups of higher rank. Various identities verified by such covariant bi-differential operators will be explained by the associativity of a...
Paul J.jun. Sally, Marko Tadic (1993)
Mémoires de la Société Mathématique de France
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Hisayosi Matumoto (1996)
Compositio Mathematica
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