PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras

Details PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras

2011-05-01

arxiv.org/abs/1105.0211v1

Mathematics

K-Theory and Homology

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Scientific paper

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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