3 citations · 8 across the 15 of their papers we have counts for
11 papers · 1 filter
On Jordan algebras and some unification results
Florin Felix Nichita
This paper is based on a talk given at the 14-th International Workshop on Differential Geometry and Its Applications, hosted by the Petroleum Gas University from Ploiesti, between…
The Unification of Nonassociative Structures
Florin F. Nichita
The main non-associative algebras are Lie algebras and Jordan algebras. There are several ways to unify these non-associative algebras and associative algebras.
Semi-entwining structures and their applications
Florin F. Nichita, Deepak Parashar, Bartosz Zielinski
Semi-entwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and…
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…
Yang-Baxter operators from algebra structures and Lie superalgebras
Florin F. Nichita, Bogdan P. Popovici
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra structures and discuss about their symmetries. In…