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http://hdl.handle.net/1942/22586
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DC Field | Value | Language |
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dc.contributor.author | YU, Xiaolan | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2016-11-10T11:17:46Z | - |
dc.date.available | 2016-11-10T11:17:46Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | ISRAEL JOURNAL OF MATHEMATICS, 214(2), p. 785-829 | - |
dc.identifier.issn | 0021-2172 | - |
dc.identifier.uri | http://hdl.handle.net/1942/22586 | - |
dc.description.abstract | Let H be a twisted Calabi–Yau (CY) Hopf algebra and σ a 2-cocycle on H. Let A be an N-Koszul twisted CY algebra such that A is a graded Hσ- module algebra. We show that the cleft extension A#σH is also a twisted CY algebra. This result has two consequences. Firstly, the smash product of an N-Koszul twisted CY algebra with a twisted CY Hopf algebra is still a twisted CY algebra. Secondly, the cleft objects of a twisted CY Hopf algebra are all twisted CY algebras. As an application of this property, we determine which cleft objects of U(D, λ), a class of pointed Hopf algebras introduced by Andruskiewitsch and Schneider, are Calabi–Yau algebras. | - |
dc.description.sponsorship | This work is supported by an FWO-grant and grants from NSFC (No. 11301126), ZJNSF (No. LQ12A01028). | - |
dc.language.iso | en | - |
dc.subject.other | Cleft extension; Calabi-Yau algebra; Hopf algebra | - |
dc.title | Cleft extensions of Koszul twisted Calabi–Yau algebras | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 829 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 785 | - |
dc.identifier.volume | 214 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s11856-016-1362-1 | - |
dc.identifier.isi | 000382866000012 | - |
item.fullcitation | YU, Xiaolan; Van Oystaeyen, Fred & ZHANG, Yinhuo (2016) Cleft extensions of Koszul twisted Calabi–Yau algebras. In: ISRAEL JOURNAL OF MATHEMATICS, 214(2), p. 785-829. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2017 | - |
item.contributor | YU, Xiaolan | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0021-2172 | - |
crisitem.journal.eissn | 1565-8511 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Cleft extensions of Koszul twisted Calabi-Yau algebras.pdf Restricted Access | Published version | 472.72 kB | Adobe PDF | View/Open Request a copy |
extension7.pdf | Peer-reviewed author version | 487.33 kB | Adobe PDF | View/Open |
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