English

On Bose-Fermi Statistics, Quantum Group Symmetry, and Second Quantization

High Energy Physics - Theory 2012-09-28 v1 Quantum Algebra q-alg

Abstract

Can one represent quantum group covariant q-commuting "creators, annihilators" Ai+,AjA^+_i,A^j as operators acting on standard bosonic/fermionic Fock spaces? We briefly address this general problem and show that the answer is positive (at least) in some simplest cases.

Cite

@article{arxiv.hep-th/9611144,
  title  = {On Bose-Fermi Statistics, Quantum Group Symmetry, and Second Quantization},
  author = {Gaetano Fiore},
  journal= {arXiv preprint arXiv:hep-th/9611144},
  year   = {2012}
}

Comments

9 pages, latex file, no figures. Talk presented at Group21

R2 v1 2026-07-22T16:02:28.165Z