Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gerstenhaber brackets on Hochschild cohomology of quantum symmetric
  algebras and their group extensions   We construct chain maps between the bar and Koszul resolutions for a quantum
symmetric algebra (skew polynomial ring). This construction uses a recursive
technique involving explicit formulae for contracting homotopies. We use these
chain maps to compute the Gerstenhaber bracket, obtaining a quantum version of
the Schouten-Nijenhuis bracket on a symmetric algebra (polynomial ring). We
compute brackets also in some cases for skew group algebras arising as group
extensions of quantum symmetric algebras.

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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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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-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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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: stat