On interpolations between Jordanian twists

@article{Meljanac2020OnIB,
  title={On interpolations between Jordanian twists},
  author={Daniel Meljanac and Stjepan Meljanac and Zoran vSkoda and Rina vStrajn},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
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 $\mathcal{F}_{L,u}$, we also show directly that the 2-cocycle condition reduces to previously proven identities. 
View PDF on arXiv
1 Citations

One Citation

Deformed Quantum Phase Spaces, Realizations, Star Products and Twists

. We review deformed quantum phase spaces and their realizations in terms of undeformed phase space. In particular, methods of calculation for the star product, coproduct of momenta and twist from…

References

SHOWING 1-10 OF 29 REFERENCES

One Parameter Family of Jordanian Twists

We propose an explicit generalization of the Jordanian twist proposed in $r$-symmetrized form by Giaquinto and Zhang. It is proved that this generalization satisfies the 2-cocycle condition. We…

Interpolations between Jordanian Twists Induced by Coboundary Twists

We propose a new generalisation of the Jordanian twist (building on the previous idea from [Meljanac S., Meljanac D., Pachol A., Pikutic D., J. Phys. A: Math. Theor. 50 (2017), 265201, 11 pages]).…

Remarks on simple interpolation between Jordanian twists

In this paper, we propose a simple generalization of the locally r-symmetric Jordanian twist, resulting in the one-parameter family of Jordanian twists. All the proposed twists differ by the…

Twisted Quantum Deformations of Lorentz and Poincare algebras

We discussed twisted quantum deformations of D = 4 Lorentz and Poincare alge- bras. In the case of Poincare algebra it is shown that almost all classical r-matrices of S. Zakrzewski classification…

Bialgebra actions, twists, and universal deformation formulas

Snyder-type spaces, twisted Poincar\'e algebra and addition of momenta

We discuss a generalisation of the Snyder model that includes all the possible deformations of the Heisenberg algebra compatible with Lorentz invariance, in terms of realisations of the…

Q deformation of Poincare algebra

Differential structure on κ-Minkowski spacetime realized as module of twisted Weyl algebra

kappa-Minkowski spacetime as the result of Jordanian twist deformation

Two one-parameter families of twists providing {kappa}-Minkowski * product deformed spacetime are considered: Abelian and Jordanian. We compare the derivation of quantum Minkowski space from two…

Drinfel’d, Hopf algebras and the quantum Yang-Baxter equation

  • Soviet Math. Dokl. 32,
  • 1985