Title 



Deformations of quadratic algebras with antisymmetric relations
 
Author 



 
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 PBWdeformation of a weakly symmetric algebra is equivalent to that of the corresponding augmented PBWdeformation under some mild conditions.   
Language 



English
 
Source (journal) 



Communications in algebra.  New York, N.Y.  
Publication 



New York, N.Y. : 2011
 
ISSN 



00927872
 
Volume/pages 



39:6(2011), p. 21372149
 
ISI 



000291809100015
 
Full text (Publishers DOI) 


  
