Quantum Sphere via Reflection Equation Algebra

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.

LaTex file, 15 pages, minor correction in Acknowledgement

References in corpus (2)

• Double quantization on the coadjoint representation of sl(n)
• Double quantization on coadjoint representations of simple Lie groups and its orbits

Cited by in corpus (1)

• Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals