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DC Field | Value | Language |
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dc.contributor.author | DELLO, Jeroen | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2015-10-01T12:25:53Z | - |
dc.date.available | 2015-10-01T12:25:53Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | JOURNAL OF ALGEBRA, 445, p. 244-279 | - |
dc.identifier.issn | 0021-8693 | - |
dc.identifier.uri | http://hdl.handle.net/1942/19649 | - |
dc.description.abstract | Let (H, R)be a finite dimensional quasitriangular Hopf al-gebra over a field k, and HMthe representation category ofH. In this paper, we study the braided autoequivalences of the Drinfeld center HHYDtrivializable on HM. We establish a group isomorphism between the group of those autoequiv-alences and the group of quantum commutative bi-Galois objects of the transmutation braided Hopf algebra RH. We then apply this isomorphism to obtain a categorical inter-pretation of the exact sequence of the equivariant Brauer group BM(k, H, R)in [18]. To this aim, we have to develop the braided bi-Galois theory established by Schauenburg in [14,15], which generalizes the Hopf bi-Galois theory over usual Hopf algebras to the one over braided Hopf algebras in a braided monoidal category. | - |
dc.description.sponsorship | FWO | - |
dc.language.iso | en | - |
dc.rights | © 2015 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Brauer group; Hopf algebra; braided autoequivalence | - |
dc.title | Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 279 | - |
dc.identifier.spage | 244 | - |
dc.identifier.volume | 445 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Zhang, YH (reprint author), Univ Hasselt, Dept Math, Agoralaan 1, B-3590 Diepenbeek, Belgium. dellojeroen@gmail.com; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jalgebra.2015.08.005 | - |
dc.identifier.isi | 000365826900013 | - |
item.fullcitation | DELLO, Jeroen & ZHANG, Yinhuo (2016) Braided autoequivalences and the equivariant Brauer group of a quasitriangular Hopf algebra. In: JOURNAL OF ALGEBRA, 445, p. 244-279. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2016 | - |
item.contributor | DELLO, Jeroen | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Restricted Access | - |
crisitem.journal.issn | 0021-8693 | - |
crisitem.journal.eissn | 1090-266X | - |
Appears in Collections: | Research publications |
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braided autoequivalences and the Brauer group of a QT Hopf algebra.pdf Restricted Access | Published version | 1.01 MB | Adobe PDF | View/Open Request a copy |
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