Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Alekseev, Ilya"'
Autor:
Alekseev, Ilya
We provide a combinatorial characterisation of positive diagrams satisfying the equality in the Morton-Franks-Williams bound for the degrees of the HOMFLY-PT polynomial. This characterisation allows generating with relative ease examples of diagrams
Externí odkaz:
http://arxiv.org/abs/2211.16434
We examine the Moore complex of the Delta-group structure related to the pure braid groups and introduced by Berrick, Cohen, Wong, and Wu. We prove that the cycle and the boundary groups are invariant under all automorphisms of the pure braid groups,
Externí odkaz:
http://arxiv.org/abs/2112.05805
Autor:
Alekseev, Ilya
We describe a new class of minimal link diagrams. This class includes certain alternating diagrams, the standard diagrams of all torus links, and numerous homogeneous diagrams whose minimality has not been proven before. Besides, we describe a new la
Externí odkaz:
http://arxiv.org/abs/2012.04330
Autor:
Alekseev, Ilya, Magdiev, Ruslan
In this paper, we give a complete description of the language of geodesic words for the discrete Heisenberg group $H(\mathbb{Z})$ with respect to the standard two-element generating set. More precisely, we prove that the only dead end elements in $H(
Externí odkaz:
http://arxiv.org/abs/1905.03226
Autor:
Alekseev, Ilya, Mamedov, Geidar
We study braid diagrams with a minimal number of crossings. Such braid diagrams correspond to geodesic words for the braid groups with standard Artin generators. We prove that a diagram of a homogeneous braid is minimal if and only if it is homogeneo
Externí odkaz:
http://arxiv.org/abs/1905.03210
Autor:
Alekseev, Ilya, Ivanov, Sergei O.
By definition the identities $[x_1,x_2]+[x_2,x_1]=0$ and $[x_1,x_2,x_3]+[x_2,x_3,x_1]+[x_3,x_1,x_2]=0$ hold in any Lie algebra. It is easy to check that the identity $[x_1,x_2,x_3,x_4]+[x_2,x_1,x_4,x_3]+[x_3,x_4,x_1,x_2]+[x_4,x_3,x_2,x_1] = 0$ holds
Externí odkaz:
http://arxiv.org/abs/1604.05281
Publikováno v:
E3S Web of Conferences, Vol 157, p 01018 (2020)
Nowadays, there are many technical and technological solutions to increase productivity in agriculture. One of such solutions is the use of the latest robotic mobile systems that can increase agricultural productivity. For the implementation of these
Externí odkaz:
https://doaj.org/article/cdda8198a0f941738643f900c87bf37d
Autor:
Godzhaev Zakhid, Senkevich Sergey, Kuzmin Victor, Ilchenko Ekaterina, Chaplygin Mikhail, Alekseev Ilya, Prilukov Alexander
Publikováno v:
E3S Web of Conferences, Vol 164, p 06009 (2020)
To automate the process of harvesting crops, different types of harvesting machines are required. The most common type of machines used to automate ingathering are harvesters. The use of harvesters for collecting grain crops is rational in fields fro
Externí odkaz:
https://doaj.org/article/2fc9823220444a1d998fb06c7a064a9a
Akademický článek
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Autor:
Zheltenkov, A., Mottaeva, A., Godzhaev, Zakhid, Senkevich, Sergey, Kuzmin, Victor, Ilchenko, Ekaterina, Chaplygin, Mikhail, Alekseev, Ilya, Prilukov, Alexander
Publikováno v:
E3S Web of Conferences; 4/18/2020, Vol. 164, p1-10, 10p