Title
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Deformations of quadratic algebras with antisymmetric relations
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Author
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Abstract
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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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Language
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English
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Source (journal)
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Communications in algebra. - New York, N.Y.
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Publication
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New York, N.Y.
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2011
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ISSN
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0092-7872
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DOI
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10.1080/00927872.2010.488672
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Volume/pages
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39
:6
(2011)
, p. 2137-2149
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ISI
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000291809100015
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Full text (Publisher's DOI)
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