C. Pallikaros

most citedOn degenerations of algebras over an arbitrary field

1 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2020

Linear degenerations of algebras and certain representations of the general linear group

Christakis A. Pallikaros, Harold N. Ward

Let $Λ (= F^{n^{3}})$ , where $F$ is a field with $∣ F ∣ > 2$ , be the space of structure vectors of algebras having the $n$ -dimensional $\mathbb{F}…

math-ph2017★ 1 cited

Describing certain Lie algebra orbits via polynomial equations

N. M. Ivanova, C. A. Pallikaros

Let $h_{3}$ be the Heisenberg algebra and let $g$ be the 3-dimensional Lie algebra having $[e_{1}, e_{2}] = e_{1} (= - [e_{2}, e_{1}])$ as its only non-zero commutation relatio…

math.RA2017★ 1 cited

On degenerations of algebras over an arbitrary field

N. M. Ivanova, C. A. Pallikaros

For each $n \geq 2$ we classify all $n$ -dimensional algebras over an arbitrary infinite field which have the property that the $n$ -dimensional abelian Lie algebra is their only proper…