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http://hdl.handle.net/1942/37649
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DC Field | Value | Language |
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dc.contributor.author | SUN, Hua | - |
dc.contributor.author | Chen, Hui-Xiang | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2022-07-06T08:19:23Z | - |
dc.date.available | 2022-07-06T08:19:23Z | - |
dc.date.issued | 2022 | - |
dc.date.submitted | 2022-07-05T13:39:54Z | - |
dc.identifier.citation | ALGEBRAS AND REPRESENTATION THEORY, | - |
dc.identifier.uri | http://hdl.handle.net/1942/37649 | - |
dc.description.abstract | In this paper, we study the representations of the Hopf-Ore extensions kG(chi(-1), a, 0) of group algebra kG, where k is an algebraically closed field. We classify all finite dimensional simple kG(chi(-1), a, 0)-modules under the assumption vertical bar chi vertical bar= infinity and vertical bar chi vertical bar = vertical bar chi(a)vertical bar < infinity respectively, and all finite dimensional indecomposable kG (chi(-1), a, 0)-modules under the assumption that kG is finite dimensional and semisimple, and vertical bar chi vertical bar = vertical bar chi(a)vertical bar. Moreover, we investigate the decomposition rules for the tensor product modules over kG (chi(-)(1) , a, 0) when char (k) = 0. Finally, we consider the representations of some Hopf-Ore extension of the dihedral group algebra kD(n), where n = 2m, m > 1 odd, and char(k) = 0. The Grothendieck ring and the Green ring of the Hopf-Ore extension are described respectively in terms of generators and relations. | - |
dc.description.sponsorship | The authors thank the referee for the valuable comments. This work is supported by NNSF of China (No. 12071412) | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.rights | © The Author(s), under exclusive licence to Springer Nature B.V. 2022 | - |
dc.subject.other | Hopf-Ore extension | - |
dc.subject.other | Simple module | - |
dc.subject.other | Indecomposable module | - |
dc.subject.other | Dihedral group | - |
dc.subject.other | Green ring | - |
dc.title | Representations of Hopf-Ore Extensions of Group Algebras | - |
dc.type | Journal Contribution | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Sun, H (corresponding author), Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China. | - |
dc.description.notes | huasun@yzu.edu.cn; hxchen@yzu.edu.cn; yinhuo.zhang@uhasselt.be | - |
local.publisher.place | VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
local.bibliographicCitation.status | Early view | - |
dc.identifier.doi | 10.1007/s10468-022-10137-2 | - |
dc.identifier.isi | WOS:000810384700001 | - |
local.provider.type | wosris | - |
local.description.affiliation | [Sun, Hua; Chen, Hui-Xiang] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China. | - |
local.description.affiliation | [Zhang, Yinhuo] Univ Hasselt, Dept Math & Stat, Univ Campus, B-3590 Diepeenbeek, Belgium. | - |
local.uhasselt.international | yes | - |
item.validation | ecoom 2023 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.fullcitation | SUN, Hua; Chen, Hui-Xiang & ZHANG, Yinhuo (2022) Representations of Hopf-Ore Extensions of Group Algebras. In: ALGEBRAS AND REPRESENTATION THEORY,. | - |
item.contributor | SUN, Hua | - |
item.contributor | Chen, Hui-Xiang | - |
item.contributor | ZHANG, Yinhuo | - |
crisitem.journal.issn | 1386-923X | - |
crisitem.journal.eissn | 1572-9079 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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Representations of Hopf-Ore Extensions of Group Algebras.pdf Restricted Access | Early view | 402.81 kB | Adobe PDF | View/Open Request a copy |
Hopf_ore_ext_202107.pdf | Peer-reviewed author version | 393.04 kB | Adobe PDF | View/Open |
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