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http://hdl.handle.net/1942/27417
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DC Field | Value | Language |
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dc.contributor.author | Huang, Hua-Lin | - |
dc.contributor.author | YANG, Yuping | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2018-11-16T10:32:17Z | - |
dc.date.available | 2018-11-16T10:32:17Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Selecta Mathematica-New Series, 24 (5), p. 4197-4221 | - |
dc.identifier.issn | 1022-1824 | - |
dc.identifier.uri | http://hdl.handle.net/1942/27417 | - |
dc.description.abstract | In this paper, we initiate the study of nondiagonal finite quasi-quantum groups over finite abelian groups. We mainly study the Nichols algebras in the twisted Yetter–Drinfeld module category kGkGYDokGkGYDo with oo a nonabelian 3-cocycle on a finite abelian group G. A complete clarification is obtained for the Nichols algebra B(V) in case V is a simple twisted Yetter–Drinfeld module of nondiagonal type. This is also applied to provide a complete classification of finite-dimensional coradically graded pointed coquasi-Hopf algebras over abelian groups of odd order and confirm partially the generation conjecture of pointed finite tensor categories due to Etingof, Gelaki, Nikshych and Ostrik. | - |
dc.description.sponsorship | Supported by NSFC 11701468, 11571199 and 11471186. | - |
dc.language.iso | en | - |
dc.subject.other | Quasi-quantum group; Nichols algebra; Tensor category | - |
dc.title | On nondiagonal quasi-quantum groups over finite abelian groups | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 4221 | - |
dc.identifier.issue | 5 | - |
dc.identifier.spage | 4197 | - |
dc.identifier.volume | 24 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Yang, YP (reprint author), Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China. hualin.huang@hqu.edu.cn; yupingyang@swu.edu.cn; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s00029-018-0420-4 | - |
dc.identifier.isi | 000449794800008 | - |
item.fullcitation | Huang, Hua-Lin; YANG, Yuping & ZHANG, Yinhuo (2018) On nondiagonal quasi-quantum groups over finite abelian groups. In: Selecta Mathematica-New Series, 24 (5), p. 4197-4221. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2019 | - |
item.contributor | Huang, Hua-Lin | - |
item.contributor | YANG, Yuping | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 1022-1824 | - |
crisitem.journal.eissn | 1420-9020 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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On nondiagonal finite quasi-quantum groups over finite abelian groups.pdf Restricted Access | Published version | 586.52 kB | Adobe PDF | View/Open Request a copy |
GPT2.pdf | Peer-reviewed author version | 431.79 kB | Adobe PDF | View/Open |
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