Differential Calculus on Quantum Spaces and Quantum Groups

Abstract

A review of recent developments in the quantum differential calculus. The quantum group GLq(n) is treated by considering it as a particular quantum space. Functions on SLq(n) are defined as a subclass of functions on GLq(n). The case of SOq(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.

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