Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphisms and Verma modules for Generalized Schr\"{o}dinger-Virasoro
  algebras   Let $\mathbb{F}$ be a field of characteristic 0, $G$ an additive subgroup of
$\mathbb{F}$, $\alpha\in \mathbb{F}$ satisfying $\alpha\notin G, 2\alpha\in G$.
We define a class of infinite-dimensional Lie algebras which are called
generalized Schr\"{o}dinger-Virasoro algebras and use
$\mathfrak{gsv}[G,\alpha]$ to denote the one corresponding to $G$ and $\alpha$.
In this paper the automorphism group and irreducibility of Verma modules for
$\mathfrak{gsv}[G,\alpha]$ are completely determined.

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The categories of this paper are: cond-mat
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph