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http://hdl.handle.net/1942/25465
Title: | On the centers of quantum groups of A(n)-type | Authors: | Li, Libin Xia, Limeng ZHANG, Yinhuo |
Issue Date: | 2018 | Source: | Science China-Mathematics, 61(2), p. 287-294 | 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). | 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 | Keywords: | center; quantum group; type An; Casimir element | Document URI: | http://hdl.handle.net/1942/25465 | ISSN: | 1674-7283 | e-ISSN: | 1869-1862 | DOI: | 10.1007/s11425-017-9119-0 | ISI #: | 000423599700007 | Rights: | (C) Science China Press and Springer-Verlag GmbH Germany 2017 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
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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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