Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact sequences, Hochschild cohomology, and the Lie module structure
  over the $M$-relative center   In this article, we present actions by central elements on Hochschild
cohomology groups with arbitrary bimodule coefficients, as well as an
interpretation of these actions in terms of exact sequences. Since our
construction utilises the monoidal structure that the category of bimodules
possesses, we will further recognise that these actions are compatible with
monoidal functors and thus, as a consequence, are invariant under Morita
equivalences. By specialising the bimodule coefficients to the underlying
algebra itself, our efforts in particular yield a description of the
degree-$(n,0)$-part of the Lie bracket in Hochschild cohomology, and thereby
close a gap in earlier work by S. Schwede.

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The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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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: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph