Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutative quotients of finite W-algebras   Let U(g,e) be the finite W-algebra associated with a nilpotent element e in a
simple Lie algebra g and assume that e is induced from a nilpotent element e_0
in a Levi subalgebra l of g. We show that if the finite W-algebra U(l,e_0) has
a 1-dimensional representation, then so does U(g,e). For g classical (and in
may other cases), we compute the Krull dimension of the largest commutative
quotient of U(g,e). Some applications to representation theory of modular
counterparts of g are given.

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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol