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Hopf maps and Wigner's little groups

Published 16 Aug 2010 in hep-th, math-ph, and math.MP | (1008.2589v2)

Abstract: We present the explicit formulae relating Hopf maps with Wigner's little groups. They, particularly, explain simple action of group on a fiber for the first and second Hopf fibrations, and present most simplified form for the third one. Corresponding invariant Lagrangians are presented, and their possible reductions are discussed.

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