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pro vyhledávání: '"Valdemar V. Tsanov"'
Autor:
Valdemar V. Tsanov
Publikováno v:
J. Geom. Symmetry Phys. 51 (2019), 73-85
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d357451fb8012eaaa75e161b1b765434
https://doi.org/10.7546/jgsp-51-2019-73-85
https://doi.org/10.7546/jgsp-51-2019-73-85
Autor:
A. V. Petukhov, Valdemar V. Tsanov
Publikováno v:
Manuscripta Mathematica
Let $\mathbb X\subset\mathbb P(V)$ be a projective variety, which is not contained in a hyperplane. Then every vector $v$ in $V$ can be written as a sum of vectors from the affine cone $X$ over $\mathbb X$. The minimal number of summands in such a su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bf399ac9926d9517d23676acbe01fbbc
https://doi.org/10.1007/s00229-014-0723-5
https://doi.org/10.1007/s00229-014-0723-5
Autor:
Valdemar V. Tsanov, Tomasz Maciążek
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 new construction of inner- and outer-bounding polytopes that constrai
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f6eb7c2ed5d93dfa2cb895ad9b07f584
http://arxiv.org/abs/1705.05445
http://arxiv.org/abs/1705.05445
Autor:
Valdemar V. Tsanov
Publikováno v:
Journal of Algebra. 373:1-29
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73e25fd54b4898b0e0f38b418f4342a9
Autor:
Valdemar V. Tsanov
Publikováno v:
L’Enseignement Mathématique. 59:73-113
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ebddc512eda21033546f385c552a6f1f
https://doi.org/10.4171/lem/59-1-3
https://doi.org/10.4171/lem/59-1-3
Autor:
Henrik Seppänen, Valdemar V. Tsanov
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::151d2def2f92e75c41f2881a0a310587
Autor:
Valdemar V. Tsanov, Adam Sawicki
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 46:265301
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::109a80bc8f325d1bbc278618118c5f94
https://doi.org/10.1088/1751-8113/46/26/265301
https://doi.org/10.1088/1751-8113/46/26/265301