A field of quantum upper triangular matrices

TL;DR

This paper demonstrates that the duals of quantum SU(2) groups, in an operator algebraic framework, converge to a classical group of upper triangular matrices with positive diagonals.

Contribution

It establishes a convergence result linking quantum groups to classical matrix groups within operator algebra theory.

Findings

Duals of quantum SU(2) groups converge to classical upper triangular matrices.

The convergence occurs within the operator algebraic setting.

Provides insight into the classical limits of quantum groups.

Abstract

We show that the duals of Woronowicz's quantum SU(2)-groups converge, within the operator algebraic setting, to the group of special upper triangular 2-by-2 matrices with positive diagonal.