40 citations · 72 across the 4 of their papers we have counts for
4 papers
Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras
Dietrich Burde, Wolfgang Moens, Pilar Páez-Guillán
We provide an infinite family of counterexamples to the conjecture of Zassenhaus on the solvability of the outer derivation algebra of a simple modular Lie algebra. In fact, we sho…
On the subalgebra lattice of a restricted Lie algebra]{On the subalgebra lattice of a restricted Lie algebra
Pilar Paez-Guillan, Salvatore Siciliano, David A. Towers
In this paper we study the lattice of restricted subalgebras of a restricted Lie algebra. In particular, we consider those algebras in which this lattice is dually atomistic, lower…
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 bicommutative algebras
Ivan Kaygorodov, María Pilar Paez Guillán, Vasily Voronin
We classify the -dimensional nilpotent bicommutative algebras over from both algebraic and geometric approaches.