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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 036, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.036 (Mi sigma1931) 		 
Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$

Jeffrey Kuana, Keke Zhangb

a Department of Mathematics, Texas A&M University, Mailstop 3368, College Station, TX 77843-3368, USA
b Perimeter Institute, 31 Caroline St. N, Waterloo, ON, N2L 2Y5, Canada
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DOI: https://doi.org/10.3842/SIGMA.2023.036
Abstract: By using Drinfeld's central element construction and fusion of $R$-matrices, we construct central elements of the quantum group $U_q(\mathfrak{gl}(N+1))$. These elements are explicitly written in terms of the generators.
Keywords: quantum groups, Harish-Chandra isomorphism, central elements.
Funding agency Grant number
MINERVA Foundation
National Science Foundation DMS-1502665
Columbia University 2017 Columbia Mathematics REU program
Jeffrey Kuan was supported by the Minerva Foundation and NSF grant DMS-1502665. Both authors were supported by the 2017 Columbia Mathematics REU program, which was funded by Columbia University.
Received: August 25, 2022; in final form May 19, 2023; Published online June 3, 2023
Document Type: Article
MSC: 16T05
Language: English
Citation: Jeffrey Kuan, Keke Zhang, “Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$”, SIGMA, 19 (2023), 036, 13 pp.
Citation in format AMSBIB
\Bibitem{KuaZha23}
\by Jeffrey~Kuan, Keke~Zhang
\paper Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$
\jour SIGMA
\yr 2023
\vol 19
\papernumber 036
\totalpages 13
\mathnet{http://mi.mathnet.ru/sigma1931}
\crossref{https://doi.org/10.3842/SIGMA.2023.036}
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