Zobrazeno 1 - 10
of 23
pro vyhledávání: '"Talalaev, Dmitry V."'
Autor:
Talalaev, Dmitry V.
In 1991, Gelfand and Retakh embodied the idea of a noncommutative Dieudonne determinant in the case of RTT algebra, namely, they found a representation of the quantum determinant of RTT algebra in the form of a product of principal quasi-determinants
Externí odkaz:
http://arxiv.org/abs/2406.07434
The principal aim of this article is to introduce and study n-valued quandles and n-corack bialgebras. We elaborate the basic methods of this theory, reproduce the coset construction known in the theory of n-valued groups. We also consider a construc
Externí odkaz:
http://arxiv.org/abs/2312.12007
The paper is devoted to the algebraic and geometric aspects of the full symmetric Toda system. We construct a solution to the complete Deift-Li-Nanda-Tomei flows system using the QR decomposition method. For this purpose we introduce specialized inva
Externí odkaz:
http://arxiv.org/abs/2212.09148
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for
Externí odkaz:
http://arxiv.org/abs/2206.09629
Publikováno v:
SIGMA 16 (2020), 115, 8 pages
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:
http://arxiv.org/abs/1810.09622
Autor:
Talalaev, Dmitry V.
We generalize the approach of arXiv:1805.04138 for the case of the Hopfield neural network in the recall stage on a triangular lattice with isotropic weights. It appears that some properties of this model, in particular the probability of passing a t
Externí odkaz:
http://arxiv.org/abs/1806.06680
Autor:
Talalaev, Dmitry V.
We construct a weight matrix for the 3D Ising model satisfying the so-called twisted tetrahedron equation. The result is based on the theory of the n-simplicial complex and the invented recursion procedure on the space of n-simplex solutions in corre
Externí odkaz:
http://arxiv.org/abs/1805.04138
Autor:
Talalaev, Dmitry V.
Publikováno v:
SIGMA 13 (2017), 031, 14 pages
The main aim of this work is to develop a method of constructing higher Hamiltonians of quantum integrable systems associated with the solution of the Zamolodchikov tetrahedral equation. As opposed to the result of V.V. Bazhanov and S.M. Sergeev the
Externí odkaz:
http://arxiv.org/abs/1505.06579
Publikováno v:
Theoretical and Mathematical Physics. 215:609-621
The paper extends the notion of braided set and its close relative - the Yang-Baxter set - to the category of vector spaces and explore structure aspects of such a notion as morphisms and extensions. In this way we describe a family of solutions for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d60a6a4c68d6fa8db81439a44c389a2f
https://doi.org/10.1134/s0040577923050021
https://doi.org/10.1134/s0040577923050021
