Elitza Hristova

activity

20152026

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4 papers · 1 filter

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 $λ$ appear with nonzero multiplicities in the cocharacter sequence of $A$ …

math.RA2025

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.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.RA2019

Noncommutative invariant theory of symplectic and orthogonal groups

Vesselin Drensky, Elitza Hristova

We present a method for computing the Hilbert series of the algebra of invariants of the complex symplectic and orthogonal groups acting on graded noncommutative algebras with homo…