English

On interpolations between Jordanian twists

Mathematical Physics 2020-10-09 v2 math.MP

Abstract

We consider two families of Drinfeld twists generated from a simple Jordanian twist further twisted with 1-cochains. Using combinatorial identities, they are presented as a series expansion in the dilatation and momentum generators. These twists interpolate between two simple Jordanian twists. For an expansion of a family of twists FL,u\mathcal{F}_{L,u}, we also show directly that the 2-cocycle condition reduces to previously proven identities.

Cite

@article{arxiv.2003.01036,
  title  = {On interpolations between Jordanian twists},
  author = {Daniel Meljanac and Stjepan Meljanac and Zoran Škoda and Rina Štrajn},
  journal= {arXiv preprint arXiv:2003.01036},
  year   = {2020}
}

Comments

11 pages, continuation of our earlier work arXiv:1904.03993, SIGMA 15 (2019) 082

R2 v1 2026-06-23T14:00:44.380Z