De Concini-Kac filtration and Gelfand-Tsetlin generators for quantum gl_N

TL;DR

This paper computes the leading term of a generating set for the quantum Gelfand-Tsetlin subalgebra of $U_q(\mathfrak{gl}_n)$ using the De Concini-Kac filtration, advancing understanding of quantum algebra structures.

Contribution

It provides an explicit computation of the leading term for the quantum Gelfand-Tsetlin subalgebra in $U_q(\mathfrak{gl}_n)$ with respect to the De Concini-Kac filtration, a novel result in quantum algebra.

Findings

Explicit leading term computed for the quantum Gelfand-Tsetlin subalgebra.

Enhanced understanding of the structure of $U_q(\mathfrak{gl}_n)$.

Foundation for further algebraic and representation-theoretic studies.

Abstract

In this note we compute the leading term with respect to the De Concini-Kac filtration of $U_q(\mathfrak{gl}_n)$ of a generating set for the quantum Gelfand-Tsetlin subalgebra.