Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Parametric Family of Subalgebras of the Weyl Algebra II. Irreducible
  Modules   An Ore extension over a polynomial algebra F[x] is either a quantum plane, a
quantum Weyl algebra, or an infinite-dimensional unital associative algebra A_h
generated by elements x,y, which satisfy yx-xy = h, where h is in F[x]. When h
is nonzero, these algebras are subalgebras of the Weyl algebra A_1 and can be
viewed as differential operators with polynomial coefficients. In previous
work, we studied the structure of A_h and determined its automorphism group and
the subalgebra of invariants under the automorphism group. Here we determine
the irreducible A_h-modules. In a sequel to this paper, we completely describe
the derivations of A_h over any field.

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The categories of this paper are: eess
13
The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th