Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: PBW-deformations and deformations \`a la Gerstenhaber of N-Koszul
  algebras   In this article we establish an explicit link between the classical theory of
deformations \`a la Gerstenhaber -- and a fortiori with the Hochschild
cohomology-- and (weak) PBW-deformations of homogeneous algebras. Our point of
view is of cohomological nature. As a consequence, we recover a theorem by R.
Berger and V. Ginzburg, which gives a precise condition for a filtered algebra
to satisfy the so-called PBW property, under certain assumptions.

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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph