Pbw-deformation Theory and Regular Central Extensions
نویسندگان
چکیده
A deformation U , of a graded K-algebra A is said to be of PBW type if grU is A. It has been shown for Koszul and N -Koszul algebras that the deformation is PBW if and only if the relations of U satisfy a Jacobi type condition. In particular, for these algebras the determination of the PBW property is a finite and explicitly determined linear algebra problem. We extend these results to an arbitrary graded K-algebra, using the notion of central extensions of algebras and a homological constant attached to A which we call the complexity of A.
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تاریخ انتشار 2006