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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Geometric construction of certain highest weight modules


Author: Roger Zierau
Journal: Proc. Amer. Math. Soc. 95 (1985), 631-635
MSC: Primary 22E46
MathSciNet review: 810176
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Abstract: We identify certain singular unitary representations of semisimple Lie groups which were constructed by Rawnsley, Schmid and Wolf. The method is to identify them with the appropriate derived functor modules. Included are ladder representations of the indefinite unitary groups.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1985-0810176-1
Keywords: Semisimple Lie group, unitary representation, Dolbeault cohomology, indefinite Kähler symmetric space, derived functor modules, ladder representation
Article copyright: © Copyright 1985 American Mathematical Society