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Generation of the symmetric group Sn2
Discrete Mathematics, Algorithms and Applications. 2021. Vol. 14. No. 2. Article 2150107.
Gorodilova A. A., Tokareva N. N., Agievich S. V. et al., Siberian Electronic Mathematical Reports 2022 Vol. 19 No. 1 P. A.9–A.37
Non-Stop University CRYPTO is the International Olympiad in Cryptography that was held for the eight time in 2021. Hundreds of university and school students, professionals from 33 countries worked on mathematical problems in cryptography during a week. The aim of the Olympiad is to attract attention to curious and even open scientific problems of modern ...
Added: March 19, 2024
Ayzenberg A., Масуда М., Сато Т., Труды Математического института им. В.А. Стеклова РАН 2022 Т. 317 С. 5–26
We describe the second cohomology of a regular semisimple Hessenberg variety by generators and relations explicitly in terms of GKM theory. The cohomology of a regular semisimple Hessenberg variety becomes a module of a symmetric group Sn by the dot action introduced by Tymoczko. As an application of our explicit description, we give a formula describing the ...
Added: October 27, 2022
Skuridin A., Yelizarov (Elizarov) A. A., Zakirova E. et al., , in: SYNCHROINFO 2020 Systems of Signal Synchronization, Generating and Processing in Telecommunications.: IEEE, 2020. P. 1–4.
In this paper we present a radio frequency precision sensor on rectangular spirals with the opposite direction of winding. The sensor is purposed to control and measure the gap to a flat metal surface. The sensor model was created using CST Studio Suite software. Using this model, we obtained relation between the gap width and ...
Added: August 20, 2020
Elagin A. D., Lunts V., Schnürer O., Moscow Mathematical Journal 2020 Vol. 20 No. 2 P. 277–309
We prove smoothness in the dg sense of the bounded derived category of finitely generated modules over any finite-dimensional algebra over a perfect field, thereby answering a question of Iyama. More generally, we prove this statement for any algebra over a perfect field that is finite over its center and whose center is finitely generated ...
Added: May 11, 2020
Chistopolskaya A., Linear and Multilinear Algebra 2020 P. 1–7
Let sp2n(K) be the symplectic Lie algebra over an algebraically closed field of characteristic zero. We prove that for any nonzero nilpotent element X in sp2n(K) there exists a nilpotent element Y in sp2n(K) such that X and Y generate sp2n(K). ...
Added: April 16, 2020
Alexander L. Tuv, Yury I. Gudkov, , in: Proceedings of the 2019 IEEE International Conference "Quality Management, Transport and Information Security, Information Technologies" (IT&QM&IS).: IEEE, 2019. P. 316–319.
The most important component of a modern product quality control system is automated measuring devices, which exclude subjective errors during the control according to an approved method. When mass production of electronic products such tools are developed in accordance with the production technology and the life cycle of specific products. For independent quality control laboratories ...
Added: December 18, 2019
Enatskaya N., Труды Карельского научного центра Российской академии наук 2016 № 8 С. 141–146
We suggest a procedure for direct enumeration of the outputs of cir-cuit with a given discipline of their enumeration. Proceeding from this, thefollwing aspects are studied: the total numer of outputs of the circuit is found, the enumeration problem is solved, the algorithm of rap[d modeling of outputs is constructed. ...
Added: September 19, 2016
Gorsky Evgeny, Selecta Mathematica, New Series 2013 Vol. 19 No. 1 P. 125–140
A theorem of Y. Berest, P. Etingof and V. Ginzburg states that finite-dimensional irreducible representations of a type A rational Cherednik algebra are classified by one rational number m/n. Every such representation is a representation of the symmetric group Sn . We compare certain multiplicity spaces in its decomposition into irreducible representations of Sn with the spaces of differential forms ...
Added: December 9, 2014
Vladimir L. Popov, , in: Oberwolfach ReportsVol. 11. Issue 1.: European Mathematical Society Publishing house, 2014. P. 156–159.
Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 R. Steinberg proved that if G is
simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes.
We prove that in arbitrary G such a cross-section exists if and only if ...
Added: February 26, 2014
Burman Y. M., / Series math "arxiv.org". 2013. No. 1309.4477.
Given a representation V of a group G, there are two natural ways of defining a representation of the group algebra k[G] in the external power V^{\wedge m}. The set L(V) of elements of k[G] for which these two ways give the same result is a Lie algebra and a representation of G. For the ...
Added: November 19, 2013
V. L. Popov, Transformation Groups 2011 Vol. 16 No. 3 P. 827–856
Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a
closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove
that in arbitrary G such a cross-section exists if and only if the ...
Added: March 16, 2013