A generalization of the Enright-Varadarajan modules
R. Parthasarathy (1978)
Compositio Mathematica
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Displaying similar documents to “Induced modules for affine Lie algebras.”
A generalization of the Enright-Varadarajan modules
The F-method and a branching problem for generalized Verma modules associated to
Todor Milev, Petr Somberg (2013)
Archivum Mathematicum
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The branching problem for a couple of non-compatible Lie algebras and their parabolic subalgebras applied to generalized Verma modules was recently discussed in [15]. In the present article, we employ the recently developed F-method, [10], [11] to the couple of non-compatible Lie algebras , and generalized conformal -Verma modules of scalar type. As a result, we classify the -singular vectors for this class of -modules.
On bounded generalized Harish-Chandra modules
Ivan Penkov, Vera Serganova (2012)
Annales de l’institut Fourier
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Let be a complex reductive Lie algebra and be any reductive in subalgebra. We call a -module bounded if the -multiplicities of are uniformly bounded. In this paper we initiate a general study of simple bounded -modules. We prove a strong necessary condition for a subalgebra to be bounded (Corollary 4.6), to admit an infinite-dimensional simple bounded -module, and then establish a sufficient condition for a subalgebra to be bounded (Theorem 5.1). As a result we are...
The PBW filtration, Demazure modules and toroidal current algebras.
Feigin, Evgeny (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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William M. McGovern (1994)
Compositio Mathematica
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Classification of the simple modules of the quantum Weyl algebra and the quantum plane
Vladimir Bavula (1997)
Banach Center Publications
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