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Koszul calculus for N-homogeneous algebras. (arXiv:1610.01035v2 [math.RA] UPDATED)

来源于:arXiv
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. 查看全文>>