Zobrazeno 1 - 10
of 66
pro vyhledávání: '"A. G. Korepanov"'
Autor:
Igor G. Korepanov
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100856- (2024)
A cohomology theory for “odd polygon” relations—algebraic imitations of Pachner moves in dimensions 3, 5, …—is constructed. Manifold invariants based on polygon relations and nontrivial polygon cocycles are proposed. Example calculation res
Externí odkaz:
https://doaj.org/article/9ea7f6b15c04446593a225cc01fdab4f
Publikováno v:
Latvian Journal of Physics and Technical Sciences. 59:52-67
To make informed decisions, modern society, like modern business, must operate with adequate information about many complex interrelated aspects of its activities. Land use is only one of such aspects. Agricultural lands are of particular importance
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3bee14198ca2be67df130479df41b206
https://doi.org/10.2478/lpts-2022-0047
https://doi.org/10.2478/lpts-2022-0047
We consider polygon and simplex equations, of which the simplest nontrivial examples are pentagon (5-gon) and Yang--Baxter (2-simplex), respectively. We examine the general structure of (2n+1)-gon and 2n-simplex equations in direct sums of vector spa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9267f67df035c1759dea94902ab447cc
http://arxiv.org/abs/2009.02352
http://arxiv.org/abs/2009.02352
Autor:
I. G. Korepanov
An ansatz is proposed for heptagon relation, that is, algebraic imitation of five-dimensional Pachner move 4--3. Our relation is realized in terms of matrices acting in a direct sum of one-dimensional linear spaces corresponding to 4-faces.
16 p
16 p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb67c4937b2ff3968217ff362a8a72e5
http://arxiv.org/abs/2003.10335
http://arxiv.org/abs/2003.10335
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
Autor:
R. A. Trefilov, N. Y. Кastkina, I. V. Badretdinova, A. A. Sergeev, Y. G. Korepanov, F. R. Arslanov, V. V. Kasatkin
Publikováno v:
Polythematic Online Scientific Journal of Kuban State Agrarian University.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9392d2d4a9b22efe94f4aee559c993ca
https://doi.org/10.21515/1990-4665-151-001
https://doi.org/10.21515/1990-4665-151-001
Autor:
Igor G. Korepanov, Nurlan M. Sadykov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 053 (2013)
We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent depending on these variables
Externí odkaz:
https://doaj.org/article/3d7d68a774ad4a4b99239770af9b63e2
Autor:
Igor G. Korepanov, Nurlan M. Sadykov
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 030 (2013)
We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching generalization of exotic Re
Externí odkaz:
https://doaj.org/article/cb94e59e39e74e1bbf472417606c6a70
Autor:
Igor G. Korepanov
Publikováno v:
Advances in Applied Clifford Algebras. 27:1411-1430
Recently, an algebraic realization of the four-dimensional Pachner move 3--3 was found in terms of Grassmann--Gaussian exponentials, and a remarkable nonlinear parameterization for it, going in terms of a $\mathbb C$-valued 2-cocycle. Here we define,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad34f90906384495bb8d24a584d5a377
https://doi.org/10.1007/s00006-016-0746-y
https://doi.org/10.1007/s00006-016-0746-y
Autor:
Igor G. Korepanov
A construction of hexagon relations - algebraic realizations of four-dimensional Pachner moves - is proposed. It goes in terms of "permitted colorings" of 3-faces of pentachora (4-simplices), and its main feature is that the set of permitted coloring
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de405d1aedc8e1ec280daedff9dccc5c
http://arxiv.org/abs/1812.10072
http://arxiv.org/abs/1812.10072