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http://hdl.handle.net/1942/11307
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DC Field | Value | Language |
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dc.contributor.author | He, Ji-Wei | - |
dc.contributor.author | Van Oystaeyen, Fred | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2010-11-10T08:39:42Z | - |
dc.date.available | NO_RESTRICTION | - |
dc.date.available | 2010-11-10T08:39:42Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | JOURNAL OF ALGEBRA, 324(8). p. 1921-1939 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/1942/11307 | - |
dc.description.abstract | The Calabi-Yau property of cocommutative Hopf algebras is discussed by using the homological integral, a recently introduced tool for studying infinite dimensional AS-Gorenstein Hopf algebras. It is shown that the skew-group algebra of a universal enveloping algebra of a finite dimensional Lie algebra g with a finite subgroup G of automorphisms of g is Calabi-Yau if and only if the universal enveloping algebra itself is Calabi-Yau and G is a subgroup of the special linear group SL(g). The Noetherian cocommutative Calabi-Yau Hopi algebras of dimension not larger than 3 are described. The Calabi-Yau property of Sridharan enveloping algebras of finite dimensional Lie algebras is also discussed. We obtain some equivalent conditions for a Sridharan enveloping algebra to be Calabi-Yau. and then partly answer a question proposed by Berger. We list all the nonisomorphic 3-dimensional Calabi-Yau Sridharan enveloping algebras. (C) 2010 Elsevier Inc. All rights reserved. | - |
dc.description.sponsorship | The authors would like to thank Raf Bocklandt and Travis Schedler for useful conversations. In particular, the first named author thanks Travis Schedler for sharing his ideas with him and showing him the manuscript [23]. The authors thank the anonymous referee for his/her useful suggestions and remarks. The work is supported by an FWO-grant and NSFC (No. 10801099). | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject.other | Cocommutative Hopf algebra; Homological integral; Calabi-Yau algebra; Sridharan enveloping algebra | - |
dc.subject.other | Cocommutative Hopf algebra; Homological integral; Calabi-Yau algebra; Sridharan enveloping algebra | - |
dc.title | Cocommutative Calabi-Yau Hopf algebras and deformations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1939 | - |
dc.identifier.issue | 8 | - |
dc.identifier.spage | 1921 | - |
dc.identifier.volume | 324 | - |
local.format.pages | 19 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [He, Ji-Wei; Van Oystaeyen, Fred] Univ Antwerp, Dept Math & Comp Sci, B-2020 Antwerp, Belgium. [He, Ji-Wei] Shaoxing Coll Arts & Sci, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China. [Zhang, Yinhuo] Univ Hasselt, Dept WNI, B-3590 Diepenbeek, Belgium. jwhe@usx.edu.cn; fred.vanoystaeyen@ua.ac.be; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.jalgebra.2010.06.010 | - |
dc.identifier.isi | 000281976500008 | - |
item.fullcitation | He, Ji-Wei; Van Oystaeyen, Fred & ZHANG, Yinhuo (2010) Cocommutative Calabi-Yau Hopf algebras and deformations. In: JOURNAL OF ALGEBRA, 324(8). p. 1921-1939. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2011 | - |
item.contributor | He, Ji-Wei | - |
item.contributor | Van Oystaeyen, Fred | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 0021-8693 | - |
crisitem.journal.eissn | 1090-266X | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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zhang 1.pdf | Published version | 251.65 kB | Adobe PDF | View/Open |
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