Quantum Sphere via Reflection Equation Algebra

Details Quantum Sphere via Reflection Equation Algebra Quantum Sphere via Reflection Equation Algebra

1999-11-18

arxiv.org/abs/math/9911141v2

Mathematics

Quantum Algebra

LaTex file, 15 pages, minor correction in Acknowledgement

Scientific paper

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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