Jeffrey Kuan, Keke Zhang, “Explicit Central Elements of <nobr>$U_q(\mathfrak{gl}(N+1))$</nobr>”, SIGMA, 2023, Volume 19,036, 13 pp.

Explicit Central Elements of $U_q(\mathfrak{gl}(N+1))$

Jeffrey Kuan^a, Keke Zhang^b

^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

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.

MSC: 16T05

Received: August 25, 2022; in final form May 19, 2023; Published online June 3, 2023

Language: English

DOI: 10.3842/SIGMA.2023.036