English

Hopf maps and Wigner's little groups

High Energy Physics - Theory 2011-07-18 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1008.2589,
  title  = {Hopf maps and Wigner's little groups},
  author = {Ruben Mkrtchyan and Armen Nersessian and Vahagn Yeghikyan},
  journal= {arXiv preprint arXiv:1008.2589},
  year   = {2011}
}

Comments

9pp, published version

R2 v1 2026-06-21T16:01:07.654Z