Quantum Sphere via Reflection Equation Algebra

1999/11/18 by D. Gurevich, Gurevich, D., P. Saponov +1
Mathematics · #17B37 #81R50 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B37 #msc:81R50

paper · pdf · doi:10.48550/arxiv.math/9911141

LaTex file, 15 pages, minor correction in Acknowledgement

arxiv created 2000/08/09 · arxiv updated 2009/11/30

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 \citePS, \citeGPS. A new way to introduce some elements of "braided geometry" on the quantum sphere is discussed.

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