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http://hdl.handle.net/1942/15292
Title: | Skew polynomial algebras with coefficients in Koszul Artin–Schelter regular algebras | Authors: | He, Jiwei Van Oystaeyen, Fred ZHANG, Yinhuo |
Issue Date: | 2013 | Source: | Journal of Algebra, 390, p. 231-249 | Abstract: | Let A be a Koszul Artin–Schelter regular algebra with Nakayama automorphism ξ . We show that the Yoneda Ext-algebra of the skew polynomial algebra A[z; ξ ] is a trivial extension of a Frobenius algebra. Then we prove that A[z; ξ ] is Calabi–Yau; and hence each Koszul Artin–Schelter regular algebra is a subalgebra of a Koszul Calabi–Yau algebra. A superpotential ˆw is also constructed so that the Calabi–Yau algebra A[z; ξ ] is isomorphic to the derivation quotient of ˆw . The Calabi–Yau property of a skew polynomial algebra with coefficients in a PBW-deformation of a Koszul Artin–Schelter regular algebra is also discussed. | Notes: | Reprint author: He, J.W., Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China. E-mail Addresses:jwhe@usx.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | Keywords: | Koszul Artin–Schelter regular algebra Skew polynomial algebra Calabi–Yau algebra Superpotential PBW-deformation | Document URI: | http://hdl.handle.net/1942/15292 | Link to publication/dataset: | http://www.sciencedirect.com/science/article/pii/S0021869313003086 | ISSN: | 0021-8693 | e-ISSN: | 1090-266X | DOI: | 10.1016/j.jalgebra.2013.05.023 | ISI #: | 000321798700013 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2014 |
Appears in Collections: | Research publications |
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