3 citations · 5 across the 12 of their papers we have counts for
4 papers · 1 filter
Hilbert series and invariants in exterior algebras
Elitza Hristova
In this paper, we consider the exterior algebra of a polynomial -module and use previously developed methods to determine the Hilbert series of the algeb…
Decomposition of cohomology of vector bundles on homogeneous ind-spaces
Elitza Hristova, Ivan Penkov
Let be a locally semisimple ind-group, be a parabolic subgroup, and be a finite-dimensional -module. We show that, under a certain condition on , the nonzero coho…
On momentum images of representations and secant varieties
Elitza Hristova, Tomasz Maciazek, Valdemar V. Tsanov
Let be a connected compact semisimple group and be an irreducible unitary representation with highest weight . We study the momentum map $μ:\mathbb P(V_λ)\to\mathfrak…
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…