PBWdeformations of NKoszul algebras
Abstract
For a quotient algebra $U$ of the tensor algebra we give explicit conditions on its relations for $U$ being a PBWdeformation of an $N$Koszul algebra $A$. We show there is a oneone correspondence between such deformations and a class of $A_\infty$structures on the Yoneda algebra $Ext_A^*(k,k)$ of $A$. We compute the PBWdeformations of the algebra whose relations are the antisymmetrizers of degree $N$ and also of cubic ArtinSchelter algebras.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.math/0505570
 arXiv:
 arXiv:math/0505570
 Bibcode:
 2005math......5570F
 Keywords:

 Mathematics  Rings and Algebras
 EPrint:
 35 pages. Some minor corrections