Hopf maps and Wigner's little groups

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.

9pp, published version

References in corpus (2)

• Second Hopf map and supersymmetric mechanics with Yang monopole
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole

Cited by in corpus (1)

• Hopf Maps, Lowest Landau Level, and Fuzzy Spheres