Differential Calculus on Quantum Spaces and Quantum Groups

Bruno Zumino

paper

Differential Calculus on Quantum Spaces and Quantum Groups

arXiv:hep-th/9212093

Abstract

A review of recent developments in the quantum differential calculus. The quantum group $G L_{q} (n)$ is treated by considering it as a particular quantum space. Functions on $S L_{q} (n)$ are defined as a subclass of functions on $G L_{q} (n)$ . The case of $S O_{q} (n)$ is also briefly considered. These notes cover part of a lecture given at the XIX International Conference on Group Theoretic Methods in Physics, Salamanca, Spain 1992.

23 pages