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. 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
2019
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; Theoret. and Math. Phys., 198:1 (2019), 129–144
2017
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; Math. Notes, 102:4 (2017), 575–579
2016
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
2013
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; Izv. Math., 77:5 (2013), 1021–1043
6.
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
2011
7.
V. A. Stukopin, “On representations of Yangian of Lie superalgebra $\mathfrak{sl}(1,2)$”, Vladikavkaz. Mat. Zh., 13:3 (2011), 53–63
2007
8.
Vladimir Stukopin, “Yangian of the Strange Lie Superalgebra of $Q_{n-1}$ Type, Drinfel'd Approach”, SIGMA, 3 (2007), 069, 12 pp.
2006
9.
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
2005
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; J. Math. Sci., 142:2 (2007), 1989–2006
1998
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; Funct. Anal. Appl., 32:3 (1998), 212–214
1994
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; 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; Funct. Anal. Appl., 28:3 (1994), 217–219
1993
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; 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; Funct. Anal. Appl., 27:4 (1993), 277–279
2020
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
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
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