Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: PBW filtration and bases for irreducible modules in type $A_n$   We study the PBW filtration on the highest weight representations $V(\la)$ of
$\msl_{n+1}$. This filtration is induced by the standard degree filtration on
$U(\n^-)$. We give a description of the associated graded $S(\n^-)$-module $gr
V(\la)$ in terms of generators and relations. We also construct a basis of $gr
V(\la)$. As an application we derive a graded combinatorial character formula
for $V(\la)$, and we obtain a new class of bases of the modules $V(\la)$
conjectured by Vinberg in 2005.

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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat