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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, Libin | - |
dc.contributor.author | Xia, Limeng | - |
dc.contributor.author | ZHANG, Yinhuo | - |
dc.date.accessioned | 2018-01-26T08:51:41Z | - |
dc.date.available | 2018-01-26T08:51:41Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | Science China-Mathematics, 61(2), p. 287-294 | - |
dc.identifier.issn | 1674-7283 | - |
dc.identifier.uri | http://hdl.handle.net/1942/25465 | - |
dc.description.abstract | Abstract Let g be the finite dimensional simple Lie algebra of type An, and let U = Uq(g, Λ) and U = Uq(g, Q) be the quantum groups defined over the weight lattice and over the root lattice, respectively. In this paper, we find two algebraically independent central elements in U for all n > 2 and give an explicit formula of the Casimir elements for the quantum group U = Uq(g, Λ), which corresponds to the Casimir element of the enveloping algebra U(g). Moreover, for n = 2 we give explicitly the generators of the center subalgebras of the quantum groups U = Uq(g, Λ) and U = Uq(g, Q). | - |
dc.description.sponsorship | This work was supported by National Natural Science Foundation of China (Grant No. 11471282). The authors thank the referees for their careful reading of this article and for valuable comments. | - |
dc.language.iso | en | - |
dc.rights | (C) Science China Press and Springer-Verlag GmbH Germany 2017 | - |
dc.subject.other | center; quantum group; type An; Casimir element | - |
dc.title | On the centers of quantum groups of A(n)-type | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 294 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 287 | - |
dc.identifier.volume | 61 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Xia, LM (reprint author), Jiangsu Univ, Inst Appl Syst Anal, Zhenjiang 212013, Peoples R China. lbli@yzu.edu.cn; xialimeng@ujs.edu.cn; yinhuo.zhang@uhasselt.be | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1007/s11425-017-9119-0 | - |
dc.identifier.isi | 000423599700007 | - |
item.fullcitation | Li, Libin; Xia, Limeng & ZHANG, Yinhuo (2018) On the centers of quantum groups of A(n)-type. In: Science China-Mathematics, 61(2), p. 287-294. | - |
item.fulltext | With Fulltext | - |
item.validation | ecoom 2019 | - |
item.contributor | Li, Libin | - |
item.contributor | Xia, Limeng | - |
item.contributor | ZHANG, Yinhuo | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 1674-7283 | - |
crisitem.journal.eissn | 1869-1862 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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On the centers of quantum groups of An-type.pdf Restricted Access | Published version | 166.54 kB | Adobe PDF | View/Open Request a copy |
casimir-element1216.pdf | Peer-reviewed author version | 309.21 kB | Adobe PDF | View/Open |
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