Stukopin, Vladimir Alekseevich

Statistics Math-Net.Ru
Total publications: 16
Scientific articles: 15
Presentations: 12

Number of views:
This page:2822
Abstract pages:3529
Full texts:976
Associate professor
Doctor of physico-mathematical sciences (2016)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Birth date: 31.01.1961
E-mail: ,
Keywords: quantum algebra, Yangian, Hopf algebra, Lie superalgebra, quantized universal envelopng algebra, universal R-matrix, representation theory, index of Fredholm operators, Banach algebras.
UDC: 512.667.7, 512.554.32


Quantum algebras, Yangians of Lie Superalgebras, index theory of Fredholm operators

Main publications:
  • Levendorskii S., Soibelman Ya., Stukopin V., Quantum Weyl group and universal R-matrix for quantum affine Lie algebra $A^{(1)}_1$, Lett. Math. Phys., 27 (1993), 1–11.
  • Stukopin V. A. O yangianakh superalgebr Li tipa A(m,n), Funktsion. analiz i ego prilozh., 28, No. 3 (1994), 85–90.
  • Stukopin V. Representations theory and Doubles of Yangians of classical Lie superalgebras. Asymptotic Combinatorics with Appic. to Math. Phys., 255–265 (2002). Kluwer Academic Publishers.
  • Stukopin V. A. Kvantovyi dubl yangiana superalgebry Li tipa A(m,n) i vychislenie universalnoi R-matritsy, Fundament. i prikladnaya matematika, T. 11, No. 2 (2005), 185–208.
  • Stukopin V. A. O duble yangiana superalgebry Li tipa A(m,n), Funktsion. analiz i ego prilozh., 40, No. 2 (2006)
  • Deundyak V. M., Simonenko I. B., Stukopin V. A. Indeks semeistv neterovykh singulyarnykh i bisingulyarnykh operatorov s kusochno-nepreryvnymi koeffitsientami na slozhnykh konturakh, Doklady AN, 338 (1994), # 2, 158–161.
  • Deundyak V. M., Simonenko I. B., Stukopin V. A. Gomotopicheskaya klassifikatsiya semeistv neterovykh singulyarnykh operatorov s kusochno-nepreryvnymi koeffitsientami na slozhnykh konturakh, Doklady AN, 329 (1993), # 2, 540–542.
List of publications on Google Scholar
List of publications on ZentralBlatt

Publications in Math-Net.Ru
1. V. A. Stukopin, “Relation between categories of representations of the super-Yangian of a special linear Lie superalgebra and quantum loop superalgebra”, TMF, 204:3 (2020),  466–484  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:3 (2020), 1227–1243  isi  scopus
2. V. A. Stukopin, “Isomorphism of the Yangian $Y_{\hbar}(A(m,n))$ of the special linear Lie superalgebra and the quantum loop superalgebra $U_{\hbar}(LA(m,n))$”, TMF, 198:1 (2019),  145–161  mathnet  mathscinet  elib; Theoret. and Math. Phys., 198:1 (2019), 129–144  isi  scopus
3. S. A. Zolotykh, V. A. Stukopin, “Asymptotics of Eigenvalues of Simple Multiloop Banded Toeplitz Matrices of a Special Type”, Mat. Zametki, 102:4 (2017),  619–623  mathnet  mathscinet  elib; Math. Notes, 102:4 (2017), 575–579  isi  scopus
4. S. A. Zolotykh, V. A. Stukopin, “On the number of connected components of the complement of limiting spectrum of Toeplitz band matrices”, Vladikavkaz. Mat. Zh., 18:2 (2016),  41–48  mathnet
5. V. A. Stukopin, “Representations of the Yangian of a Lie superalgebra of type $A(m,n)$”, Izv. RAN. Ser. Mat., 77:5 (2013),  179–202  mathnet  mathscinet  zmath  elib; Izv. Math., 77:5 (2013), 1021–1043  isi  elib  scopus
6. V. A. Stukopin, “The Yangian of the strange Lie superalgebra and its quantum double”, TMF, 174:1 (2013),  140–153  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 174:1 (2013), 122–133  isi  elib  scopus
7. V. A. Stukopin, “On representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$”, Vladikavkaz. Mat. Zh., 13:3 (2011),  53–63  mathnet
8. Vladimir Stukopin, “Yangian of the Strange Lie Superalgebra of $Q_{n-1}$ Type, Drinfel'd Approach”, SIGMA, 3 (2007), 069, 12 pp.  mathnet  mathscinet  zmath  isi  scopus
9. V. A. Stukopin, “The Yangian Double of the Lie Superalgebra $A(m,n)$”, Funktsional. Anal. i Prilozhen., 40:2 (2006),  86–90  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:2 (2006), 155–158  isi  scopus
10. V. A. Stukopin, “The quantum double of the Yangian of the Lie superalgebra $A(m,n)$ and computation of the universal $R$-matrix”, Fundam. Prikl. Mat., 11:2 (2005),  185–208  mathnet  mathscinet  zmath; J. Math. Sci., 142:2 (2007), 1989–2006  scopus
11. V. A. Stukopin, “On the Problem of Classification of Banach Algebras of Singular Integral Operators with $PC$-Coefficients in $L_p$ Spaces on Composite Contours”, Funktsional. Anal. i Prilozhen., 32:3 (1998),  87–90  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:3 (1998), 212–214  isi
12. V. M. Deundyak, I. B. Simonenko, V. A. Stukopin, “The index of families of Noether singular and bisingular integral operators with piecewise-continuous coefficients on complex contours”, Dokl. Akad. Nauk, 338:2 (1994),  158–161  mathnet  mathscinet  zmath; Dokl. Math., 50:2 (1995), 210–214
13. V. A. Stukopin, “Yangians of Lie Superalgebras of Type $A(m,n)$”, Funktsional. Anal. i Prilozhen., 28:3 (1994),  85–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 28:3 (1994), 217–219  isi
14. V. M. Deundyak, I. B. Simonenko, V. A. Stukopin, “Homotopic classification of families of Noether singular operators with piecewise-continuous coefficients on a complex contour”, Dokl. Akad. Nauk, 329:5 (1993),  540–542  mathnet  mathscinet  zmath; Dokl. Math., 47:2 (1993), 305–309
15. V. M. Deundyak, I. B. Simonenko, V. A. Stukopin, “Ideals of a Banach Algebra of Singular Integral Operators with Piecewise Continuous Coefficients in the Space $L_p$”, Funktsional. Anal. i Prilozhen., 27:4 (1993),  69–71  mathnet  mathscinet  zmath; Funct. Anal. Appl., 27:4 (1993), 277–279  isi

16. A. V. Abanin, A. O. Vatulyan, M. I. Karyakin, S. B. Klimentov, Yu. F. Korobeinik, A. G. Kusraev, V. A. Stukopin, “Sergej Nikolaevich Melikhov (on his 60's anniversary)”, Vladikavkaz. Mat. Zh., 22:2 (2020),  98–99  mathnet

Presentations in Math-Net.Ru
1. Structures of Hopf superalgebras on quantum superalgebras and the quantum Weyl groupoid
V. A. Stukopin
International Conference "Integrability" Dedicated to 75th Anniversary of A. K. Pogrebkov
September 22, 2021 15:45   
2. Super Yangians and quantum loop superalgebras: representations and Hopf superalgebra structures
V. A. Stukopin
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 9, 2021 13:00   
3. Асимптотика собственных значений симметрических теплицевых матриц
V. A. Stukopin,

March 11, 2021 17:15   
4. Янгианы супералгебр Ли и квантовые аффинные супералгебры
V. A. Stukopin

November 12, 2020 18:30
5. О связи категорий представлений суперянгиана и квантовой петлевой супералгебры
V. A. Stukopin
VIII Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
January 27, 2020 15:00
6. On a relation between Yangians of Lie superalgebras and quantum affine superalgebras
V. A. Stukopin
Lie groups and invariant theory
October 30, 2019 16:45
7. On connection between super Yangians and quantum loop superalgebras
V. A. Stukopin
International Bogolyubov Conference Problems of Theoretical and Mathematical Physics dedicated to the 110th anniversary of N. N. Bogolyubov's birth
September 10, 2019 16:20   
8. On representations of Yangians and Quantum Loop Superalgebras
V. A. Stukopin
3rd French Russian Conference on Random Geometry and Physics: Sachdev–Ye–Kitaev Model and Related Topics
June 7, 2019 11:10   
9. Yangian Double of Queer Lie Superalgebra
V. Stukopin
Transformation groups 2017. Conference dedicated to Prof. Ernest B. Vinberg on the occasion of his 80th birthday
December 17, 2017 13:00   
10. О связи янгианов супералгебр Ли и квантовых аффинных супералгебр
V. A. Stukopin
VI Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory
February 3, 2017 17:00
11. Yangians of Lie superalgebras
V. A. Stukopin
Lie groups and invariant theory
February 26, 2014 16:45
12. Янгиан супералгебры Ли и вычисление универсальной $R$-матрицы
V. A. Stukopin
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS
October 20, 2004

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