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Belavin–Drinfeld solutions of the Yang–Baxter equation: Galois cohomology considerations
(Springer, 2018-04)
We relate the Belavin–Drinfeld cohomologies (twisted and untwisted) that have been introduced in the literature to study certain families of quantum groups and Lie bialgebras over a non algebraically closed field K of ...
Two qutrits universal quantum gates from the nine-dimensional unitary solutions of the Yang-Baxter equation
(SPIE-INT SOC OPTICAL ENGINEERING, 2007-04-25)
Using the Kauffman-Lomonaco method, some two-qutrits universal quantum gates are derived from the nine-dimensional unitary solutions of the Yang-Baxter equations associated with algebraic structures like the partial transpose ...
An introduction to Nichols Algebras
(Springer International Publishing, 2018)
Nichols algebras, Hopf algebras in braided categories with distinguishedproperties, were discovered several times. They appeared for the first time in the thesis of W. Nichols [72], aimed to construct new examples of Hopf ...
Adding flavour to the S-matrix bootstrap
(2018-12-01)
We explore the S-matrices of gapped, unitary, Lorentz invariant quantum field theories with a global O(N) symmetry in 1+1 dimensions. We extremize various cubic and quartic couplings in the two-to-two scattering amplitudes ...
Algunas propiedades homológicas del plano de Jordan
(Universidad Pedagógica y Tecnológica de Colombia, 2018-07-04)
The Jordan plane can be seen as a quotient algebra, as a graded Ore extension and as a graded skew PBW extension. Using these interpretations, it is proved that the Jordan plane is an Artin-Schelter regular algebra and a ...