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.
V. D. Volkov, V. A. Stukopin, “Affine super-Yangian and a quantum Weyl groupoid”, TMF, 216:3 (2023), 476–489; Theoret. and Math. Phys., 216:3 (2023), 1313–1325
2022
2.
V. A. Stukopin, “Quasi-triangular structures on the super-Yangian and quantum loop superalgebra and difference equations”, TMF, 213:1 (2022), 129–148; Theoret. and Math. Phys., 213:1 (2022), 1423–1440
2020
3.
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; Theoret. and Math. Phys., 204:3 (2020), 1227–1243
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; Theoret. and Math. Phys., 198:1 (2019), 129–144
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; Math. Notes, 102:4 (2017), 575–579
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
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; Izv. Math., 77:5 (2013), 1021–1043
V. A. Stukopin, “The Yangian of the strange Lie superalgebra and its quantum double”, TMF, 174:1 (2013), 140–153; Theoret. and Math. Phys., 174:1 (2013), 122–133
V. A. Stukopin, “The Yangian Double of the Lie Superalgebra $A(m,n)$”, Funktsional. Anal. i Prilozhen., 40:2 (2006), 86–90; Funct. Anal. Appl., 40:2 (2006), 155–158
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; J. Math. Sci., 142:2 (2007), 1989–2006
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; Funct. Anal. Appl., 32:3 (1998), 212–214
1994
14.
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; Dokl. Math., 50:2 (1995), 210–214
15.
V. A. Stukopin, “Yangians of Lie Superalgebras of Type $A(m,n)$”, Funktsional. Anal. i Prilozhen., 28:3 (1994), 85–88; Funct. Anal. Appl., 28:3 (1994), 217–219
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; Dokl. Math., 47:2 (1993), 305–309
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; Funct. Anal. Appl., 27:4 (1993), 277–279
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
Presentations in Math-Net.Ru
1.
Asymptotics of the eigenvalues of seven-diagonal Toeplitz matrices of a special form I. Voronin, V. A. Stukopin, S. M. Grudskii, M. Barrera III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 7, 2023 12:35
2.
Affine super Yangian and quantum Weyl groupoid V. A. Stukopin III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis”, dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov July 7, 2023 12:00
3.
Аффинный суперянгиан V. A. Stukopin The 10th Workshop and Conference on Lie Algebras, Algebraic Groups, and Invariant Theory January 28, 2023 16:40
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
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 (Novikov Seminar) October 20, 2004
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