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 III. Derivations   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 investigated the structure of A_h, determined its automorphisms and
their invariants, and studied the irreducible A_h-modules. Here we determine
the derivations of A_h over an arbitrary field.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
3
The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int