On interpolations between Jordanian twists

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 ${\mathcal{F}}_{L,u}$, we also show directly that the 2-cocycle condition reduces to previously proven identities.

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

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• kappa-Minkowski spacetime as the result of Jordanian twist deformation
• Noncommutative Spaces and Poincaré Symmetry
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• Twisted Quantum Deformations of Lorentz and Poincaré algebras
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Cited by in corpus (1)

• Deformed Quantum Phase Spaces, Realizations, Star Products and Twists