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pro vyhledávání: '"A. Lavrenov"'
We compute the co-multiplication of the algebraic Morava K-theory for split orthogonal groups. This allows us to compute the decomposition of the Morava motives of generic maximal orthogonal Grassmannians and to compute a Morava K-theory analogue of
Externí odkaz:
http://arxiv.org/abs/2409.14099
Autor:
L G. Pyanova, V. T. Dolgikh, A. V. Sedanova, M. S. Delyagina, N. V. Kornienko, E. V. Naumkina, A. V. Lavrenov, A. V. Dubrovskaya
Publikováno v:
Антибиотики и Химиотерапия, Vol 69, Iss 5-6, Pp 4-10 (2024)
Background. Currently, the scientific search for alternative materials and methods for combating pathogens of infectious diseases is an important area of research. Carbon materials are one of the promising types of materials exhibiting antimicrobial
Externí odkaz:
https://doaj.org/article/3cda716336614b3686c5f77ac1f81b5f
The main result of the present paper is bounded elementary generation of the Steinberg groups $\mathrm{St}(\Phi,R)$ for simply laced root systems $\Phi$ of rank $\ge 2$ and arbitrary Dedekind rings of arithmetic type. Also, we prove bounded generatio
Externí odkaz:
http://arxiv.org/abs/2307.05526
Autor:
Lavrenov, Andrei, Petrov, Victor
We prove that inner forms of a variety of Borel subgroups have isomorphic motives with respect to the second Morava K-theory if and only if the corresponding Tits algebras and Rost invariants coincide. This extends Panin's results on interrelationshi
Externí odkaz:
http://arxiv.org/abs/2306.13605
Autor:
Kavazi, Dato, Smirnov, Victor, Shilina, Sasha, MOZGIII, Li, MingDong, Contreras, Rafael, Gajera, Hardik, Lavrenov, Dmitry, Core, the Humanode
The advent of blockchain technology has led to a massive wave of different decentralized ledger technology (DLT) solutions. Such projects as Bitcoin and Ethereum have shifted the paradigm of how to transact value in a decentralized manner, but their
Externí odkaz:
http://arxiv.org/abs/2111.13189
Let $k$ be an arbitrary field. In this paper we show that in the linear case ($\Phi=\mathsf{A}_\ell$, $\ell \geq 4$) and even orthogonal case ($\Phi = \mathsf{D}_\ell$, $\ell\geq 7$, $\mathrm{char}(k)\neq 2$) the unstable functor $\mathrm{K}_2(\Phi,
Externí odkaz:
http://arxiv.org/abs/2110.11087
Publikováno v:
In Advances in Mathematics June 2024 446
Autor:
Elena O. Kobzar, Liudmila N. Stepanova, Aleksandr A. Nepomniashchii, Anastasia V. Vasilevich, Tatiana I. Gulyaeva, Mikhail V. Trenikhin, Aleksandr V. Lavrenov
Publikováno v:
Hydrogen, Vol 4, Iss 3, Pp 644-657 (2023)
Single phase CuCoMgAl-layered hydroxides were obtained by making fine adjustment to their composition through changing the (Co + Cu)/Mg = 0.5; 1; 2; 3 and Co/Cu = 0.5; 1; 2 ratios. The rise of Co/Cu in systems contributed to the increase in their the
Externí odkaz:
https://doaj.org/article/9ee7d943be1649669c6000ef2bec38d1
Autor:
Lavrenov, A. N.
A special case of Askey-Wilson algebra $AW(3)$ with three generators is shown to serve as a hidden symmetry algebra underlying the Hahn problem for the quantum algebra $sl_q(2)$. On the base of this hidden symmetry the corresponding Clebsch-Gordan co
Externí odkaz:
http://arxiv.org/abs/2104.01994
We compute the algebraic Morava K-theory ring of split special orthogonal and spin groups. In particular, we establish certain stabilization results for the Morava K-theory of special orthogonal and spin groups. Besides, we apply these results to stu
Externí odkaz:
http://arxiv.org/abs/2011.14720