Quantum Sphere via Reflection Equation Algebra
D. Gurevich, P. Saponov
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 PS, GPS. A new way to introduce some elements of "braided geometry" on the quantum sphere is discussed.
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