Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Premet conjecture for finite W-superalgebras   Let $\bullet^{\dag}$ be the map in sense of the Losev, which sends the set of
two sided ideals of a finite W-algebras to that of the universal enveloping
algebra of corresponding Lie algebras. The Premet conjecture which was proved
in \cite{Lo11}, says that, restricted to the set of primitive ideals with
finite codimension, any fiber of the map $\bullet^{\dag}$ is a single orbit
under an action of a finite group. In this article we formulate and prove a
similar fact in the super case. This will give a classification to the set of
finite dimensional irreducible representations of W-superalgebras provided
$C_{e}$ is a trivial group and the set of primitive ideals of the corresponding
universal enveloping algebra of Lie superalgebra is known.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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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: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc