Zobrazeno 1 - 10
of 15
pro vyhledávání: '"V. A. Stukopin"'
Autor:
A. V. Mazurenko, V. A. Stukopin
Publikováno v:
Advanced Engineering Research, Vol 18, Iss 2, Pp 246-255 (2018)
Introduction. One of the tasks arising in cryptography is to ensure a safe and fair conduct of e-voting. This paper details the algorithm of electronic elections particularly that part which deals with the cryptographic security. Materials and Method
Externí odkaz:
https://doaj.org/article/6affb6e0107840099bed9c10052289b1
Autor:
V. A. Stukopin
Publikováno v:
Theoretical and Mathematical Physics. 213:1423-1440
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::67f80b0a4cf85ce0c553d243afd5e10a
https://doi.org/10.1134/s0040577922100099
https://doi.org/10.1134/s0040577922100099
Autor:
V. A. Stukopin
Publikováno v:
Theoretical and Mathematical Physics. 204:1227-1243
Using the approach developed by Gautam and Toledano Laredo, we introduce analogues of the category $$ \mathfrak{O} $$ for representations of the Yangian $$Y_\hbar(A(m,n))$$ of a special linear Lie superalgebra and the quantum loop superalgebra $$U_q(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dc56aa1976d3bbda0b9fe8fc11b7654b
https://doi.org/10.1134/s0040577920090111
https://doi.org/10.1134/s0040577920090111
Autor:
V. A. Stukopin
Publikováno v:
Physics of Particles and Nuclei. 51:474-478
Based on the description of irreducible finite-dimensional representations of the Yangian of special linear Lie superalgebra and quantum loop special linear superalgebra we introduce the counterparts of the categories $$\mathfrak{O}$$ for representat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::369ff2d694e598a795ddd569054c1c31
https://doi.org/10.1134/s106377962004070x
https://doi.org/10.1134/s106377962004070x
Autor:
V. A. Stukopin
Publikováno v:
Lobachevskii Journal of Mathematics. 41:728-741
Drinfeld Yangian of a queer Lie superalgebra is defined as the quantization of a Lie bisuperelgebra of twisted polynomial currents. An analogue of the new system of generators of Drinfeld is being constructed. It is proved for the partial case of Lie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c45de4b747f149a36b19632fe00c8538
https://doi.org/10.1134/s1995080220040241
https://doi.org/10.1134/s1995080220040241
Autor:
V. A. Stukopin
Publikováno v:
Theoretical and Mathematical Physics. 198:129-144
Using the approach of Gautam and Toledano Laredo, we construct an explicit isomorphism of the Yangian Yħ(A(m, n)) of the special linear Lie superalgebra and the quantum loop superalgebra Uħ(LA(m, n)).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c2ce2c8a88fc31c7e7d0cd7cc41aadf1
https://doi.org/10.1134/s0040577919010094
https://doi.org/10.1134/s0040577919010094
Autor:
V. A. Stukopin, S. A. Zolotykh
Publikováno v:
Mathematical Notes. 102:575-579
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62e2159a3c863d73609347f333d8dadc
https://doi.org/10.1134/s0001434617090309
https://doi.org/10.1134/s0001434617090309
Autor:
V A Stukopin
Publikováno v:
Izvestiya: Mathematics. 77:1021-1043
We describe the finite-dimensional irreducible representations of the Yangian of a Lie superalgebra of type . We formulate and prove a criterion for an irreducible representation to be finite-dimensional.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6a444bb87aca8fd6452085055c100b92
https://doi.org/10.1070/im2013v077n05abeh002668
https://doi.org/10.1070/im2013v077n05abeh002668
Autor:
V. A. Stukopin
Publikováno v:
Theoretical and Mathematical Physics. 174:122-133
We construct the Yangian of the strange Lie superalgebra as a particular case of the general construction of a twisted Yangian. We describe a Poincare-Birkhoff-Witt basis of the Yangian of the type-Qn Lie superalgebra and construct the quantum double
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a87a85f6b8eaa8e82e1157d079ecd23b
https://doi.org/10.1007/s11232-013-0010-8
https://doi.org/10.1007/s11232-013-0010-8
Autor:
V. A. Stukopin
Publikováno v:
Journal of Mathematical Sciences. 142:1989-2006
The Yangian double DY(A(m, n)) of the Lie superalgebra A(m, n) is described in terms of generators and defining relations. We prove the triangular decomposition for Yangian Y(A(m, n)) and its quantum double DY(A(m, n)) as a corollary of the PBW theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0fe4b444185dc68fd3e1a9987780aa0a
https://doi.org/10.1007/s10958-007-0106-5
https://doi.org/10.1007/s10958-007-0106-5