Elitza Hristova

collaborators

3 papers

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.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…