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

TL;DR

This paper constructs explicit central elements of the quantum group $U_q(\mathfrak{gl}(N+1))$ using Drinfeld's method and fusion of R-matrices, providing concrete formulas in terms of generators.

Contribution

It introduces a new explicit construction of central elements in $U_q(\mathfrak{gl}(N+1))$ via Drinfeld's approach and fusion techniques.

Findings

Explicit formulas for central elements in $U_q(\mathfrak{gl}(N+1))$

Application of Drinfeld's central element construction

Use of R-matrix fusion to derive central elements

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.