13 citations · 25 across the 10 of their papers we have counts for
13 papers
Linear embeddings of grassmannians and ind-grassmannians
Ivan Penkov, Valdemar Tsanov
By a grassmannian we understand a usual complex grassmannian or possibly an orthogonal or symplectic grassmannian. We classify, with few exceptions, linear embeddings of grassmanni…
Partial convex hulls of coadjoint orbits and degrees of invariants
Valdemar V. Tsanov
We study properties of convex hulls of (co)adjoint orbits of compact groups, with applications to invariant theory and tensor product decompositions. The notion of partial convex h…
Representations of large Mackey Lie algebras and universal tensor categories
Ivan Penkov, Valdemar Tsanov
We extend previous work by constructing a universal abelian tensor category generated by two objects equipped with finite filtrations $0\subsetneq X_0\subsetneq .…
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…
Unstable loci in flag varieties and variation of quotients
Henrik Seppänen, Valdemar V. Tsanov
We consider the action of a semisimple subgroup of a semisimple complex group on the flag variety , and the linearizations of this action by line bundles $\math…
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…
Geometric Invariant Theory for principal three-dimensional subgroups acting on flag varieties
Henrik Seppänen, Valdemar V. Tsanov
Let G be a semisimple complex Lie group. In this article, we study Geometric Invariant Theory on a flag variety G/B with respect to the action of a principal 3-dimensional simple s…
Homogeneous projective varieties with semi-continuous rank function
A. Petukhov, V. Tsanov
Let be a projective variety, which is not contained in a hyperplane. Then every vector in can be written as a sum of vectors from the affine…
A link between Quantum Entanglement, Secant varieties and Sphericity
Adam Sawicki, Valdemar V. Tsanov
In this paper, we shed light on relations between three concepts studied in representations theory, algebraic geometry and quantum information theory. First - spherical actions of…
Triangle groups, automorphic forms, and torus knots
Valdemar V. Tsanov
This paper's theme is the relation between several classical and well-known objects: triangle Fuchsian groups, quasi-homogeneous singularities of plane curves, torus knot complemen…
Embeddings of semisimple complex Lie groups and cohomological components of modules
Valdemar V. Tsanov
Let G --> G' be an embedding of semisimple complex Lie groups, let B and B' be a pair of nested Borel subgroups, and let f:G/B --> G'/B' be the associated equivariant embedding of…