4 papers
On reductive subgroups of reductive groups having invariants in almost all representations
Valdemar Tsanov, Yana Staneva
Let and be connected complex reductive Lie groups, semisimple. Let be the monoid of dominant weights for a positive root system , and let be th…
Secant varieties and degrees of invariants
Valdemar V. Tsanov
The ring of invariant polynomials over a given finite dimensional representation space of a complex reductive group is known, by a famous theorem of Hilb…
Quantum marginals from pure doubly excited states
Tomasz Maciazek, Valdemar Tsanov
The possible spectra of one-particle reduced density matrices that are compatible with a pure multipartite quantum system of finite dimension form a convex polytope. We introduce a…
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…