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Об изоморфизме янгиана Y(A(m,n)) специальной линейной супералгебры Ли и квантовой петлевой супералгебры U(LA(m,n))
Теоретическая и математическая физика. 2019. Т. 198. № 1. С. 145-161.
Стукопин В. А.
Using the approach of Gautam and Toledano Laredo, we construct an explicit isomorphism of the Yangian Y(A(m, n)) of the special linear Lie superalgebra and the quantum loop superalgebra U(LA(m, n)).
Стукопин В. А., В кн. : Теоретическая и математическая физика. Т. 198. Вып. 1.: Математический институт им. В. А. Стеклова РАН, 2019. С. 145-161.
Using the approach of Gautam and Toledano Laredo, we construct an explicit isomorphism of the Yangian Y(A(m, n)) of the special linear Lie superalgebra and the quantum loop superalgebra U(LA(m, n)). ...
Added: March 6, 2020
Ирина Щепочкина, Буаррудж С., Крутов А. et al., Функциональный анализ и его приложения 2018 Т. 52 № 1 С. 61-64
We give explicit formulas proving restrictedness of the following Lie (super)algebras: known exceptional simple vectorial Lie (super)algebras in characteristic 3, deformed Lie (super)algebras with indecomposable Cartan matrix, and (under certain conditions) their simple subquotients over an algebraically closed field of characteristic 3, as well as one type of the deformed divergence-free Lie superalgebras with any ...
Added: December 11, 2018
Feigin B. L., Hu Y., Journal of Algebra 2021 Vol. 573 P. 539-560
Inspired by [12], we give shuffle algebra realization of positive part of quantum affine superalgebra U-v((D) over cap (2, 1; theta)) associated to any simple root systems. We also determine the shuffle algebra associated to (sl) over cap((2 vertical bar 1) with odd root system when v is a primitive root of unity of even order, generalizing results in [4]. ...
Added: September 8, 2021
Irina Shchepochkina, Bouarroudj S., Krutov A. et al., Mathematical Research Letters 2015 Vol. 22 No. 2 P. 353-402
Of four types of Kaplansky algebras, type-2 and type-4 algebras have previously unobserved Z/2-gradings: nonlinear in roots. A method assigning a simple Lie superalgebra to every Z/2-graded simple Lie algebra in characteristic 2 is illustrated by seven new series. Type-2 algebras and one of the two type-4 algebras are demystified as nontrivial deforms (the results of deformations) ...
Added: December 11, 2018
Brundan J., Losev Ivan, Webster B., International Mathematics Research Notices 2017 No. 20 P. 6329-6410
We give a new proof of the "super Kazhdan-Lusztig conjecture" for the Lie super algebra gl_{n|m}(C) as formulated originally by the first author. We also prove for the first time that any integral block of category O for gl_{n|m}(C) (and also all of its parabolic analogs) possesses a graded version which is Koszul. Our approach ...
Added: October 15, 2017
Irina Shchepochkina, Bouarroudj S., Krutov A. et al., Algebras and Representation Theory 2018 Vol. 21 No. 5 P. 897-941
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Cartan matrix of any growth, (b) with non-symmetrizable Cartan matrix of polynomial growth, (c) Lie (super)algebras of vector fields with polynomial coefficients, (d) stringy a.k.a. superconformal superalgebras, (e) queerifications of simple restricted ...
Added: December 11, 2018
Irina Shchepochkina, Bouarroudj S., Grozman P. et al., International Mathematics Research Notices 2016 No. 18 P. 5695-5726
Several improvements of the Kostrikin–Shafarevich method conjecturally producing all simple finite-dimensional Lie algebras over algebraically closed fields of any positive characteristic were recently suggested; the list of examples obtained by the improved method becomes richer but in characteristic 2 it is far from being saturated. We investigate one of the steps of our version of ...
Added: December 11, 2018
Bouarroudj S., Krutov A., Leites D. et al., Algebras and Representation Theory 2018 Vol. 21 No. 5 P. 897-941
We review the list of non-degenerate invariant (super)symmetric bilinear forms (briefly: NIS) on the following simple (relatives of) Lie (super)algebras: (a) with symmetrizable Cartan matrix of any growth, (b) with non-symmetrizable Cartan matrix of polynomial growth, (c) Lie (super)algebras of vector fields with polynomial coefficients, (d) stringy a.k.a. superconformal superalgebras, (e) queerifications of simple restricted ...
Added: December 7, 2018
Sergeev A., Algebras and Representation Theory 2018 Vol. 21 No. 5 P. 1177-1202
Let Dn,m be the algebra of quantum integrals of the deformed Calogero-Moser-Sutherland problem corresponding to the root system of the Lie superalgebra gl(n, m). The algebra Dn,m acts naturally on the quasi-invariant Laurent polynomials and we investigate the corresponding spectral decomposition. Even for general value of the parameter k the spectral decomposition is not multiplicity ...
Added: November 21, 2018
Sergeev A., Journal of Algebra 2019 No. 517 P. 336-364
We consider three types of rings of supersymmetric poly-nomials: polynomial ones Λm,n, partially polynomial Λ+ym,nand Laurent supersymmetric rings Λ±m,n. For each type of rings we give their descriptions in terms of generators and relations. As a corollary we get for n ≥man isomorphism Λ+ym,n=Λ+ym,m⊗Λ+y0,n−m. It is also true for polynomial rings, but in this case ...
Added: May 30, 2019
В. Л. Попов, Математические заметки 2017 Т. 102 № 1 С. 72-80
Мы доказываем, что аффинно-треугольные подгруппы являются борелевскими подгруппами групп Кремоны. ...
Added: May 3, 2017
Красноярск : ИВМ СО РАН, 2013
Труды Пятой Международной конференции «Системный анализ и информационные технологии» САИТ-2013 (19–25 сентября 2013 г., г.Красноярск, Россия): ...
Added: November 18, 2013
Borzykh D., ЛЕНАНД, 2021
Книга представляет собой экспресс-курс по теории вероятностей в контексте начального курса эконометрики. В курсе в максимально доступной форме изложен тот минимум, который необходим для осознанного изучения начального курса эконометрики. Данная книга может не только помочь ликвидировать пробелы в знаниях по теории вероятностей, но и позволить в первом приближении выучить предмет «с нуля». При этом, благодаря доступности изложения и небольшому объему книги, ...
Added: February 20, 2021
Kotelnikova M. V., Aistov A., Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Социальные науки 2019 Т. 55 № 3 С. 183-189
The article describes a method that allows to improve the content of disciplines of the mathematical cycle by dividing them into invariant (general) and variable parts. The invariants were identified for such disciplines as «Linear algebra», «Mathematical analysis», «Probability theory and mathematical statistics» delivered to Bachelors program students of economics at several universities. Based on ...
Added: January 28, 2020
Grines V., Gurevich E., Pochinka O., Russian Mathematical Surveys 2017 Vol. 71 No. 6 P. 1146-1148
In the paper a Palis problem on finding sufficient conditions on embedding of Morse-Smale diffeomorphisms in topological flow is discussed. ...
Added: May 17, 2017
Okounkov A., Aganagic M., Moscow Mathematical Journal 2017 Vol. 17 No. 4 P. 565-600
We associate an explicit equivalent descendent insertion to any relative insertion in quantum K-theory of Nakajima varieties.
This also serves as an explicit formula for off-shell Bethe eigenfunctions for general quantum loop algebras associated to quivers and gives the general integral solution to the corresponding quantum Knizhnik Zamolodchikov and dynamical q-difference equations. ...
Added: October 25, 2018
Danilov B.R., Moscow University Computational Mathematics and Cybernetics 2013 Vol. 37 No. 4 P. 180-188
The article investigates a model of delays in a network of functional elements (a gate network) in an arbitrary finite complete basis B, where basis elements delays are arbitrary positive real numbers that are specified for each input and each set of boolean variables supplied on the other inputs. Asymptotic bounds of the form τ ...
Added: December 2, 2019
Amerik E., Verbitsky M., / Cornell University. Series arXiv "math". 2021.
An MBM locus on a hyperkahler manifold is the union of all deformations of a minimal rational curve with negative self-intersection. MBM loci can be equivalently defined as centers of bimeromorphic contractions. It was shown that the MBM loci on deformation equivalent hyperkahler manifolds are diffeomorphic. We determine the MBM loci on a hyperkahler manifold ...
Added: April 7, 2022
Litvin Y. V., Абрамов И. В., Технологии техносферной безопасности 2016 № 66
Advanced approach to the assessment of a random time of arrival fire fighting calculation on the object of protection, the time of their employment and the free combustion. There is some quantitative assessments with the review of analytical methods and simulation ...
Added: August 27, 2016
Vyalyi M., Дискретная математика 1991 Т. 3 № 3 С. 35-45
Added: October 17, 2014
Levashov M., Кухаренко А. В., Вопросы защиты информации 2018 № 2 С. 66-71
Рассматривается статистическая модель одного этапа системы фрод-мониторинга транзакций в интернет-банкинге. Построен и рассчитан близкий к отношению правдоподобия критерий отсева мошеннических транзакций. Для выборочных распределений, полученных на выборке объема в 1 млн реальных транзакций, вычислены параметры эффективности этого критерия. ...
Added: June 14, 2018
Beklemishev L. D., Оноприенко А. А., Математический сборник 2015 Т. 206 № 9 С. 3-20
We formulate some term rewriting systems in which the number of computation steps is finite for each output, but this number cannot be bounded by a provably total computable function in Peano arithmetic PA. Thus, the termination of such systems is unprovable in PA. These systems are derived from an independent combinatorial result known as the Worm ...
Added: March 13, 2016
Min Namkung, Younghun K., Scientific Reports 2018 Vol. 8 No. 1 P. 16915-1-16915-18
Sequential state discrimination is a strategy for quantum state discrimination of a sender’s quantum
states when N receivers are separately located. In this report, we propose optical designs that can
perform sequential state discrimination of two coherent states. For this purpose, we consider not
only binary phase-shifting-key (BPSK) signals but also general coherent states, with arbitrary prior
probabilities. Since ...
Added: November 16, 2020
Arzhantsev I., Journal of Lie Theory 2000 Vol. 10 No. 2 P. 345-357
Added: July 8, 2014