Elitza Hristova

activity

20132026

most citedBranching laws for tensor modules over classical locally finite Lie algebras

3 citations · 5 across the 12 of their papers we have counts for

collaborators

12 papers

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.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.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.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…

math.RA2022

On the $GL (n)$ -module structure of Lie nilpotent associative relatively free algebras

Elitza Hristova

Let $K ⟨ X ⟩$ denote the free associative algebra generated by a set $X = {x_{1}, \dots, x_{n}}$ over a field $K$ of characteristic $0$ . Let $I_{p}$ , for $p \geq…

math.RT2019

Hilbert series and invariants in exterior algebras

Elitza Hristova

In this paper, we consider the exterior algebra $Λ (W)$ of a polynomial $GL (n)$ -module $W$ and use previously developed methods to determine the Hilbert series of the algeb…

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…

math.AC2017★ 1 cited

Invariants of symplectic and orthogonal groups acting on $GL (n, C)$ -modules

Vesselin Drensky, Elitza Hristova

Let $GL (n) = GL (n, C)$ denote the complex general linear group and let $G \subset GL (n)$ be one of the classical complex subgroups $O (n)$ , $\t…

math.RT2017★ 1 cited

Decomposition of cohomology of vector bundles on homogeneous ind-spaces

Elitza Hristova, Ivan Penkov

Let $G$ be a locally semisimple ind-group, $P$ be a parabolic subgroup, and $E$ be a finite-dimensional $P$ -module. We show that, under a certain condition on $E$ , the nonzero coho…

math.RT2015

On momentum images of representations and secant varieties

Elitza Hristova, Tomasz Maciazek, Valdemar V. Tsanov

Let $K$ be a connected compact semisimple group and $V_{λ}$ be an irreducible unitary representation with highest weight $λ$ . We study the momentum map $μ:\mathbb P(V_λ)\to\mathfrak…

math.RT2013★ 3 cited

Branching laws for tensor modules over classical locally finite Lie algebras

Elitza Hristova

Let g' and g be isomorphic to any two of the Lie algebras gl(infty), sl(infty), sp(infty), and so(infty). Let M be a simple tensor g-module. We introduce the notion of an embedding…

On the cocharacter sequence of some PI-algebras

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

A geometry of cubic discriminants in 8 dimensions

Identities of relatively free algebras of Lie nilpotent associative algebras

Actions of frieze groups on inverse limits of polynomial rings

On the GL(n)-module structure of Lie nilpotent associative relatively free algebras

Hilbert series and invariants in exterior algebras

Noncommutative invariant theory of symplectic and orthogonal groups

Invariants of symplectic and orthogonal groups acting on GL(n,C)-modules

Decomposition of cohomology of vector bundles on homogeneous ind-spaces

On momentum images of representations and secant varieties

Branching laws for tensor modules over classical locally finite Lie algebras

On the $GL (n)$ -module structure of Lie nilpotent associative relatively free algebras

Invariants of symplectic and orthogonal groups acting on $GL (n, C)$ -modules