The PBW filtration, Demazure modules and toroidal current algebras.

Feigin, Evgeny

Displaying similar documents to “The PBW filtration, Demazure modules and toroidal current algebras.”

The Grothendieck group of GL(F)×GL(G)-equivariant modules over the coordinate ring of determinantal varieties

J. Weyman (1998)

Colloquium Mathematicae

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The $N = 1$ triplet vertex operator superalgebras: twisted sector.

Adamović, Dražen, Milas, Antun (2008)

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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 $𝔨 \subset 𝔤$ 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...

A property of the degree filtration of polynomial functors.

Piriou, Laurent, Schwartz, Lionel (2002)

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Classification of the simple modules of the quantum Weyl algebra and the quantum plane

Vladimir Bavula (1997)

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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.