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pro vyhledávání: '"Tsanov, Valdemar V."'
Autor:
Tsanov, Valdemar V.
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 hulls is introduced and applied to define two numerical invariants of a
Externí odkaz:
http://arxiv.org/abs/2402.13893
Autor:
Tsanov, Valdemar V.
The ring of invariant polynomials ${\mathbb C}[V]^G$ over a given finite dimensional representation space $V$ of a complex reductive group $G$ is known, by a famous theorem of Hilbert, to be finitely generated. The general proof being nonconstructive
Externí odkaz:
http://arxiv.org/abs/1811.12048
Autor:
Seppänen, Henrik, Tsanov, Valdemar V.
We consider the action of a semisimple subgroup $\hat G$ of a semisimple complex group $G$ on the flag variety $X=G/B$, and the linearizations of this action by line bundles $\mathcal L$ on $X$. The main result is an explicit description of the assoc
Externí odkaz:
http://arxiv.org/abs/1607.04231
Let $K$ be a connected compact semisimple group and $V_\lambda$ be an irreducible unitary representation with highest weight $\lambda$. We study the momentum map $\mu:\mathbb P(V_\lambda)\to\mathfrak k^*$. The intersection $\mu(\mathbb P(V_\lambda))^
Externí odkaz:
http://arxiv.org/abs/1504.01110
Autor:
Seppänen, Henrik, Tsanov, Valdemar V.
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 subgroup S of G. We determine explicitly the GIT-equivalence classes of
Externí odkaz:
http://arxiv.org/abs/1503.07105
Autor:
Sawicki, Adam, Tsanov, Valdemar V.
Publikováno v:
J. Phys. A: Math. Theor. 46 265301 (2013)
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 reductive groups on projective spaces. Second - secant varieties of ho
Externí odkaz:
http://arxiv.org/abs/1302.4459
Autor:
Tsanov, Valdemar V.
Publikováno v:
L'Enseignement Math\'ematique 59 (2013), 73-113
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 complements in the 3-sphere. Torus knots are the only nontrivial knots whose co
Externí odkaz:
http://arxiv.org/abs/1011.0461
Autor:
Tsanov, Valdemar V.
Publikováno v:
Journal of Algebra 373 (2013) 1-29
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 flag manifolds. We study the pullbacks of cohomologies of invertible s
Externí odkaz:
http://arxiv.org/abs/1005.4225
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