Elitza Hristova

activity

20242026

collaborators

5 papers

math.RA2026

Tensor products of Lie nilpotent associative algebras and applications to codimension sequences

Elitza Hristova

Let $G$ and $H$ be Lie nilpotent associative algebras over a field $K$ such that in addition $H$ satisfies the identity $[x_{1}, x_{2}] \dots [x_{2 k - 1}, x_{2 k}] = 0$ for some $k \geq 2$ …

math.RA2026

On the cocharacter sequence of some PI-algebras

Elitza Hristova

Let $A$ be a unital associative PI-algebra over a field of characteristic zero. We study which partitions $I^»$ appear with nonzero multiplicities in the cocharacter sequence of $A$ …

math.RA2025

Identities of relatively free algebras of Lie nilpotent associative algebras

Elitza Hristova, Thiago Castilho de Mello

In this paper, we consider the relatively free algebra of rank $n$ , $F_{n} (N_{p})$ , in the variety of Lie nilpotent associative algebras of index $p$ , denoted by $\mathfrak{…

math.DG2025

A geometry of cubic discriminants in 8 dimensions

Elitza Hristova, Ivan Minchev

This paper examines 8-dimensional Riemannian manifolds whose structure group reduces to $S O (4)_{i r} \subset G L (8, R)$ , the image of an irreducible representation of $S O (4)$ …

math.GR2024

Actions of frieze groups on inverse limits of polynomial rings

Elitza Hristova, Bogdan Stankov

In the spirit of the action of the symmetric group on the ring of polynomials in $n$ variables, we consider the actions of the seven frieze groups on rings of formal infinite linea…