Zobrazeno 1 - 10
of 22
pro vyhledávání: '"G. I. Sharygin"'
Publikováno v:
Journal of Geometry and Physics. 136:45-51
In our previous papers (Chernyakov et al., 2014; 2016; 2017) we described the structure of trajectories of the symmetric Toda system on normal real forms of various Lie algebras and showed that it was totally determined by the Hasse diagram of the Br
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fba676fabb06cc5f9e11d3e985af0022
https://doi.org/10.1016/j.geomphys.2018.10.015
https://doi.org/10.1016/j.geomphys.2018.10.015
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
In this short note we show that the Bruhat cells in real normal forms of semisimple Lie algebras enjoy the same property as their complex analogs: for any two elements $w$, $w'$ in the Weyl group $W(\mathfrak g)$, the corresponding real Bruhat cell $
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7b040987c8d6fb25bbe412c15b6d2098
https://doi.org/10.3842/sigma.2020.115
https://doi.org/10.3842/sigma.2020.115
We present here a theory of noncommutative cross-ratio, Schwarz derivative and their connections and relations to the operator cross-ratio. We apply the theory to "noncommutative elementary geometry" and relate it to noncommutative integrable systems
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b2c8a33a5bea1759ab07e083c70ad1f6
https://doi.org/10.1017/9781108773355.017
https://doi.org/10.1017/9781108773355.017
Publikováno v:
Proceedings of the Steklov Institute of Mathematics. 302:198-216
The paper is devoted to the study of a special statistical model on graphs with vertices of degrees 6 and 1. We show that this model is invariant with respect to certain Roseman moves if one regards the graph as the singular point set of the diagram
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78a6b9c26dc78a3910153fd42c63c032
https://doi.org/10.1134/s008154381806010x
https://doi.org/10.1134/s008154381806010x
Publikováno v:
Theoretical and Mathematical Physics. 193:1574-1592
We continue investigations begun in our previous works where we proved that the phase diagram of the Toda system on special linear groups can be identified with the Bruhat order on the symmetric group if all eigenvalues of the Lax matrix are distinct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::759bf03448d72fc29d71a2e147132ee3
https://doi.org/10.1134/s0040577917110022
https://doi.org/10.1134/s0040577917110022
Autor:
Nikolai Mnev, G. I. Sharygin
Publikováno v:
Journal of Mathematical Sciences. 224:304-327
A principal circle bundle over a PL polyhedron can be triangulated and thus obtains combinatorics. The triangulation is assembled from triangulated circle bundles over simplices. To every triangulated circle bundle over a simplex we associate a neckl
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a48d5fb2b8267b45bad432fd437560ee
https://doi.org/10.1007/s10958-017-3416-2
https://doi.org/10.1007/s10958-017-3416-2
Autor:
Dmitry Talalaev, G. I. Sharygin
Publikováno v:
Journal of Noncommutative Geometry. 11:741-756
In this paper we address the following question: is it always possible to choose a deformation quantization of a Poisson algebra A so that certain Poisson-commutative subalgebra C in it remains commutative? We define a series of cohomological obstruc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::718dc44e2b433d3609d18a2f560c1fb1
https://doi.org/10.4171/jncg/11-2-9
https://doi.org/10.4171/jncg/11-2-9
Autor:
A. Konyaev, G. I. Sharygin
Publikováno v:
Recent Developments in Integrable Systems and Related Topics of Mathematical Physics ISBN: 9783030048068
In this survey chapter we discuss various approaches and known results, concerning the following question: when is it possible to find a commutative extension of a Poisson-commutative subalgebra in \(C^\infty (X)\) (where X is a Poisson manifold) to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::58444b28ce13cb375c3b972270a20f76
https://doi.org/10.1007/978-3-030-04807-5_8
https://doi.org/10.1007/978-3-030-04807-5_8
Autor:
G. I. Sharygin, I. M. Nikonov
Publikováno v:
Russian Journal of Mathematical Physics. 22:379-388
We extend the Chern character construction of Neshveyev and Tuset to a map whose values lie in Hopf cyclic homology with coefficients, generalizing their definition of K-theory as well. We also introduce the sheaf of equivariant K-theory (with and wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1dd1c168236ca33fbffcfc697e64d798
https://doi.org/10.1134/s1061920815030085
https://doi.org/10.1134/s1061920815030085
Autor:
G. I. Sharygin, I. M. Nikonov
Publikováno v:
Mathematical Notes. 97:575-587
The paper discusses the structure of the Hopf cyclic homology and cohomology of the algebra of smooth functions on a manifold provided that the algebra is endowed with an action or a coaction of the algebra of Hopf functions on a finite or compact gr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b179a421751e4ad4a48c4f80d36b20e
https://doi.org/10.1134/s0001434615030281
https://doi.org/10.1134/s0001434615030281