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Quantum Sphere via Reflection Equation Algebra

D. Gurevich·P. Saponov
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Abstract

Quantum sphere is introduced as a quotient of the so-called Reflection Equation Algebra. This enables us to construct some line bundles on it by means of the Cayley-Hamilton identity whose a quantum version was discovered in \cite{PS}, \cite{GPS}. A new way to introduce some elements of "braided geometry" on the quantum sphere is discussed.

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D. Gurevich, P. Saponov. 2000-08-09. Quantum Sphere via Reflection Equation Algebra. https://arxiv.org/abs/math/9911141

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