TL;DR
This paper provides an elementary introduction to quantum symmetries, focusing on quantum groups, based on lectures from a 1992 school, aimed at bridging physics and mathematical concepts.
Contribution
It offers a clear, accessible presentation of quantum groups and symmetries, translating lecture material into a concise educational resource.
Findings
Introduces quantum groups from a physical perspective
Connects quantum symmetries to mathematical structures
Prepares for a comprehensive book on the topic
Abstract
These notes correspond rather accurately to the translation of the lectures given at the Fifth Mexican School of Particles and Fields, held in Guanajuato, Gto., in December~1992. They constitute a brief and elementary introduction to quantum symmetries from a physical point of view, along the lines of the forthcoming book by C. G\'omez, G. Sierra and myself.
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