On Function Theory in Quantum Disc: Covariance

TL;DR

This paper explores the function theory in the quantum disc and connects it with quantum groups theory, expanding the mathematical framework in non-commutative geometry.

Contribution

It establishes a relationship between function theory in the quantum disc and quantum groups, advancing the understanding of their interplay.

Findings

Link between quantum disc function theory and quantum groups

Extension of previous results on quantum disc functions

New insights into non-commutative geometry

Abstract

Our previous work (math.QA/9808015) introduces the basic notions and announces some results on function theory in the quantum disc. The present paper establishes a relationship between those results and the quantum groups theory.