Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koszul calculus for N-homogeneous algebras   We extend the Koszul calculus defined on quadratic algebras by Berger, Lambre
and Solotar, to N-homogeneous algebras. When N>2, the Koszul cup and cap
products are defined by specific expressions, and they are compatible with the
Koszul differentials, providing associative products on (co)homology classes.
The N-Koszul calculus is calculated for the truncated polynomial algebras.

22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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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: chem-ph
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The categories of this paper are: nlin