43 citations · 100 across the 18 of their papers we have counts for
4 papers · 1 filter
Structure and isomorphisms of quantum generalized Heisenberg algebras
Samuel A. Lopes, Farrokh Razavinia
In [14] we introduced a new class of algebras, which we named \textit{quantum generalized Heisenberg algebras} and which depend on a parameter and two polynomials . We hav…
Quantum generalized Heisenberg algebras and their representations
Samuel A. Lopes, Farrokh Razavinia
We introduce and study a new class of algebras, which we name \textit{quantum generalized Heisenberg algebras} and denote by , related to generalized Heisenber…
Non-associative central extensions of null-filiform associative algebras
Ivan Kaygorodov, Samuel A. Lopes, Pilar Páez-Guillán
We give the algebraic classification of alternative, left alternative, Jordan, bicommutative, left commutative, assosymmetric, Novikov and left symmetric central extensions of null…
The algebraic and geometric classification of nilpotent anticommutative algebras
Ivan Kaygorodov, Mykola Khrypchenko, Samuel A. Lopes
We give algebraic and geometric classifications of -dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are one-par…