Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/15242
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | He, Jiwei | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2013-06-14T13:29:13Z | - |
dc.date.available | 2013-06-14T13:29:13Z | - |
dc.date.issued | 2013 | - |
dc.identifier.citation | Manuscript Mathematica, 141 (3-4), p. 463-483 | - |
dc.identifier.issn | 0025-2611 | - |
dc.identifier.uri | http://hdl.handle.net/1942/15242 | - |
dc.description.abstract | We compute the Nakayama automorphism of a Poincare-Birkhoff-Witt (PBW)-deformation of a Koszul Artin-Schelter (AS) Gorenstein algebra of finite global dimension, and give a criterion for an augmented PBW-deformation of a Koszul Calabi-Yau algebra to be Calabi-Yau. The relations between the Calabi-Yau property of augmented PBW-deformations and that of non-augmented cases are discussed. The Nakayama automorphisms of PBW-deformations of Koszul AS-Gorenstein algebras of global dimensions 2 and 3 are given explicitly. We show that if a PBW-deformation of a graded Calabi-Yau algebra is still Calabi-Yau, then it is defined by a potential under some mild conditions. Some classical results are also recovered. Our main method used in this article is elementary and based on linear algebra. The results obtained in this article will be applied in a subsequent paper (He et al., Skew polynomial algebras with coefficients in AS regular algebras, preprint, 2011). | - |
dc.description.sponsorship | The authors thank the anonymous referee for his/her valuable suggestions and comments. The work is supported by an FWO-grant and grants from NSFC (No. 11171067), ZJNSF (No. LY12A01013), Science and Technology Department of Zhejiang Province (No. 2011R10051), and SRF for ROCS, SEM. | - |
dc.language.iso | en | - |
dc.subject.other | Deformation, Koszul Algebra, AS-Gorenstein algebra | - |
dc.title | Deformations of Koszul Artin–Schelter Gorenstein algebras | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 483 | - |
dc.identifier.issue | 3-4 | - |
dc.identifier.spage | 463 | - |
dc.identifier.volume | 141 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Reprint Address: He, JW (reprint author) - 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 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s00229-012-0580-z | - |
dc.identifier.isi | 000319914800005 | - |
dc.identifier.url | http://link.springer.com/content/pdf/10.1007%2Fs00229-012-0580-z.pdf | - |
item.contributor | He, Jiwei | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
item.validation | ecoom 2014 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | He, Jiwei; Van Oystaeyen, Fred & ZHANG, Yinhuo (2013) Deformations of Koszul Artin–Schelter Gorenstein algebras. In: Manuscript Mathematica, 141 (3-4), p. 463-483. | - |
crisitem.journal.issn | 0025-2611 | - |
crisitem.journal.eissn | 1432-1785 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Deformations of Koszul AS Gorenstein algebras1.pdf | 259.46 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
6
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
7
checked on Oct 13, 2024
Page view(s)
72
checked on Sep 7, 2022
Download(s)
114
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.