C. Pallikaros

activity

20162023

most citedOn degenerations of algebras over an arbitrary field

1 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RA2023

Degenerations of 3-dimensional nilpotent associative algebras over an algebraically closed field

N. M. Ivanova, C. A. Pallikaros

We determine the complete degeneration picture inside the variety of nilpotent associative algebras of dimension 3 over an algebraically closed field of characteristic not equal to…

math.RA2022★ 1 cited

Degenerations of complex associative algebras of dimension three via Lie and Jordan algebras

N. M. Ivanova, C. A. Pallikaros

Let $Λ_{3} (C) (= C^{27})$ be the space of structure vectors of $3$ -dimensional algebras over $C$ considered as a $G$ -module via the action of $G={\…

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…

math.GR2016

Groups from class 2 algebras and the Weil character

Christakis A. Pallikaros, Harold N. Ward

We investigate the behaviour of the Weil character of the symplectic group on restriction to subgroups arising from commutative nilpotent algebras of class 2. We give explicit desc…