Search Results - "Chernousov, Vladimir"
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The finiteness of the genus of a finite-dimensional division algebra, and some generalizations
Published in Israel journal of mathematics (01-03-2020)“…We prove that the genus of a finite-dimensional division algebra is finite whenever the center is a finitely generated field of any characteristic. We also…”
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Study of air pollution in the area of compact accommodation of students (campuses) of three universities in Vladivostok city
Published in BIO web of conferences (01-01-2023)“…The article presents the results of the study of airborne particulate matter in Vladivostok city in three areas of compact residence of students (university…”
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Study of particulate emissions when using special wires for underwater welding
Published in E3S web of conferences (01-01-2024)“…The article describes the study to evaluate the emissions to atmospheric air of airborne nano- and microparticles generated during underwater welding in…”
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The Impact of Metal-Based Nanoparticles Produced by Different Types of Underwater Welding on Marine Microalgae
Published in Toxics (Basel) (22-01-2023)“…Underwater wet welding is commonly used in joining pipelines and in underwater construction. Harmful and hazardous compounds are added to many flux-cored wires…”
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Investigation of the complex granulometric composition of suspended particles in seawater
Published in BIO web of conferences (01-01-2024)“…The material for our study was collected at the Far Eastern Federal University, Ajax Bay, Sea of Japan and studied at the St. Petersburg Polytechnic University…”
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Corrigendum to: Investigation of the complex granulometric composition of suspended particles in seawater
Published in BIO web of conferences (2024)Get full text
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The genus of a division algebra and the unramified Brauer group
Published in Bulletin of mathematical sciences (01-08-2013)“…Let be a finite-dimensional central division algebra over a field . We define the genus of to be the collection of classes , where is a central division…”
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WITHDRAWN: A characterization of groups of type F4 arising from the first Tits construction
Published in Journal of algebra (01-02-2023)Get full text
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Lower bounds for essential dimensions in characteristic 2 via orthogonal representations
Published in Pacific journal of mathematics (21-12-2015)Get full text
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Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction
Published in Advances in mathematics (New York. 1965) (01-02-2024)“…We provide a new condition for an absolutely almost simple algebraic group to have good reduction with respect to a discrete valuation of the base field which…”
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R‐triviality of groups of type F4 arising from the first Tits construction
Published in The Bulletin of the London Mathematical Society (01-04-2021)“…Any group of type F4 is obtained as the automorphism group of an Albert algebra. We prove that such a group is R‐trivial whenever the Albert algebra is…”
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On the Tits-Weiss conjecture and the Kneser-Tits conjecture for E-7,1(78) and E-8,2(78) (With an Appendix by R. M. Weiss)
Published in Forum of mathematics. Sigma (23-11-2021)“…We prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the TitsWeiss conjecture for Albert algebras and the…”
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On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss)
Published in Forum of mathematics. Sigma (2021)“…We prove that the structure group of any Albert algebra over an arbitrary field is R -trivial. This implies the Tits–Weiss conjecture for Albert algebras and…”
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On the Tits–Weiss conjecture and the Kneser–Tits conjecture for $\ rm {E}^{78}_{8,2}$ (With an Appendix by R. M. Weiss)
Published in Forum of mathematics. Sigma (01-01-2021)“…We prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the Tits–Weiss conjecture for Albert algebras and…”
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On the Tits–Weiss conjecture and the Kneser–Tits conjecture for $\mathrm {E}^{78}_{7,1}$ and $\mathrm {E}^{78}_{8,2}$ (With an Appendix by R. M. Weiss)
Published in Forum of mathematics. Sigma (2021)“…We prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the Tits–Weiss conjecture for Albert algebras and…”
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Essential $$p$$ -dimension of split simple groups of type $$A_n
Published in Mathematische annalen (01-09-2013)Get full text
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Essential -dimension of split simple groups of type
Published in Mathematische annalen (2013)“…We compute the essential -dimension of split simple groups of type in terms of the functor of central simple algebras of degree and exponent dividing …”
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On the size of the genus of a division algebra
Published in Proceedings of the Steklov Institute of Mathematics (2016)“…Let D be a central division algebra of degree n over a field K . One defines the genus gen( D ) as the set of classes [ D ′] ∈ Br( K ) in the Brauer group of K…”
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Algebraic groups of type $D_4$, triality, and composition algebras
Published in Documenta mathematica Journal der Deutschen Mathematiker-Vereinigung. (2013)“…Conjugacy classes of outer automorphisms of order 3 of simple algebraic groups of classical type D_4 are classified over arbitrary fields. There are two main…”
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Motivic decomposition of isotropic projective homogeneous varieties
Published in Duke mathematical journal (15-01-2005)“…We give a decomposition of the Chow motive of an isotropic projective homogeneous variety of a semisimple algebraic group in terms of twisted motives of…”
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