Quantum Sphere via Reflection Equation Algebra
Quantum Algebra
2007-05-23 v2
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.
Cite
@article{arxiv.math/9911141,
title = {Quantum Sphere via Reflection Equation Algebra},
author = {D. Gurevich and P. Saponov},
journal= {arXiv preprint arXiv:math/9911141},
year = {2007}
}
Comments
LaTex file, 15 pages, minor correction in Acknowledgement