Quantum Sphere via Reflection Equation Algebra
Abstract
Description
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.
LaTex file, 15 pages, minor correction in Acknowledgement
LaTex file, 15 pages, minor correction in Acknowledgement