English

Kinematical Lie algebras in 2+1 dimensions

High Energy Physics - Theory 2018-08-01 v3 Representation Theory

Abstract

We classify kinematical Lie algebras in dimension 2+1. This is approached via the classification of deformations of the static kinematical Lie algebra. In addition, we determine which kinematical Lie algebras admit invariant symmetric inner products.

Keywords

Cite

@article{arxiv.1802.04048,
  title  = {Kinematical Lie algebras in 2+1 dimensions},
  author = {Tomasz Andrzejewski and José Figueroa-O'Farrill},
  journal= {arXiv preprint arXiv:1802.04048},
  year   = {2018}
}

Comments

18 pages (v2: some typos in tables corrected; v3: final version to appear in the Journal of Mathematical Physics)

R2 v1 2026-06-23T00:19:13.612Z