3 citations · 3 across the 5 of their papers we have counts for
6 papers
Lie algebras and Yang-Baxter equations
Florin F. Nichita
At the previous congress (CRM 6), we reviewed the construction of Yang-Baxter operators from associative algebras, and presented some (colored) bialgebras and Yang-Baxter systems r…
Yang-Baxter operators from (G, θ)-Lie algebras
Florin F. Nichita, Bogdan P. Popovici
The (G, θ)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and t…
New constructions of Yang-Baxter systems
Florin F. Nichita, Deepak Parashar
The quantum Yang-Baxter equation admits generalisations to systems of Yang-Baxter type equations called Yang-Baxter systems. Starting from algebra structures, we propose new constr…
Spectral-parameter dependent Yang-Baxter operators and Yang-Baxter systems from algebra structures
Florin F. Nichita, Deepak Parashar
For any algebra two families of coloured Yang-Baxter operators are constructed, thus producing solutions to the two-parameter quantum Yang-Baxter equation. An open problem about a…
Yang-Baxter operators arising from algebra structures and the Alexander polynomial of knots
Gwenael Massuyeau, Florin F. Nichita
In this note, we consider the problem of constructing knot invariants from Yang-Baxter operators associated to (unitary associative) algebra structures. We first compute the enhanc…
Yang-Baxter Systems and Entwining Structures
Tomasz Brzezinski, Florin F. Nichita
It is shown that a Yang-Baxter system can be constructed from any entwining structure. It is also shown that, conversely, Yang-Baxter systems of certain type lead to entwining stru…