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

A. SOLOTAR; ESTANISLAO HERSCOVICH,; MARIANO SUAREZ ALVAREZ

JOURNAL OF NONCOMMUTATIVE GEOMETRY

EUROPEAN MATHEMATICAL SOC

Lugar: Zürich; Año: 2012

1661-6952

In this article we establish an explicit link between the classical theory ofdeformations à la Gerstenhaber (and a fortiori with the Hochschild cohomology)and (weak) PBW-deformations of homogeneous algebras. Our point of viewis of cohomological nature. As a consequence, we recover a theorem by R.Berger and V. Ginzburg, which gives a precise condition for a filtered algebrato satisfy the so-called PBW property, under certain assumptions.