info:eu-repo/semantics/article
PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras
Fecha
2014-07Registro en:
Herscovich Ramoneda, Estanislao Benito; Solotar, Andrea Leonor; Suárez-Alvarez, Mariano; PBW-deformations and deformations à la Gerstenhaber of N-Koszul algebras; European Mathematical Society; Journal of Noncommutative Geometry; 8; 2; 7-2014; 505-539
1661-6952
CONICET Digital
CONICET
Autor
Herscovich Ramoneda, Estanislao Benito
Solotar, Andrea Leonor
Suárez-Alvarez, Mariano
Resumen
In this article we establish an explicit link between the classical theory of deformations à 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.