Hopf Maps, Lowest Landau Level, and Fuzzy Spheres

This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and their mutual relations. The Hopf maps of division algebras provide a prototype relation between monopoles and fuzzy spheres. Generalization of complex numbers to Clifford algebra is exactly analogous to generalization of fu...

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Bibliographic Details
Date:2010
Main Author: Hasebe, K.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146533
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Hopf Maps, Lowest Landau Level, and Fuzzy Spheres / K. Hasebe // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 102 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine