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Please use this identifier to cite or link to this item: 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
Citation: 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
URI: http://hdl.handle.net/1942/25465
DOI: 10.1007/s11425-017-9119-0
ISI #: 000423599700007
ISSN: 1674-7283
Category: A1
Type: Journal Contribution
Appears in Collections: Research publications

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