Displaying similar documents to “Some functorial properties of microlocalization for 𝓓-modules”

On P-extending modules.

Kamal, M.A., Elmnophy, O.A. (2005)

Acta Mathematica Universitatis Comenianae. New Series

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Componentwise injective models of functors to DGAs

Marek Golasiński (1997)

Colloquium Mathematicae

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The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras.

On bounded generalized Harish-Chandra modules

Ivan Penkov, Vera Serganova (2012)

Annales de l’institut Fourier

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Let 𝔤 be a complex reductive Lie algebra and 𝔨 𝔤 be any reductive in 𝔤 subalgebra. We call a ( 𝔤 , 𝔨 ) -module M bounded if the 𝔨 -multiplicities of M are uniformly bounded. In this paper we initiate a general study of simple bounded ( 𝔤 , 𝔨 ) -modules. We prove a strong necessary condition for a subalgebra 𝔨 to be bounded (Corollary 4.6), to admit an infinite-dimensional simple bounded ( 𝔤 , 𝔨 ) -module, and then establish a sufficient condition for a subalgebra 𝔨 to be bounded (Theorem 5.1). As a result we are...