Title
Deformations of quadratic algebras with antisymmetric relations
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York, N.Y. ,
Subject
Mathematics
Source (journal)
Communications in algebra. - New York, N.Y.
Volume/pages
39(2011) :6 , p. 2137-2149
ISSN
0092-7872
ISI
000291809100015
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
A finitely generated quadratic algebra with antisymmetric generating relations is called a weakly symmetric algebra. The automorphism group and CalabiYau property of a PoincaréBirkhoffWitt (PBW)-deformation of a weakly symmetric algebra are discussed. It is shown that the CalabiYau property of a PBW-deformation of a weakly symmetric algebra is equivalent to that of the corresponding augmented PBW-deformation under some mild conditions.
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