Persons: Skrypnyk, Taras Volodymyrovych

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Skrypnyk, Taras Volodymyrovych

Statistics Math-Net.Ru
Total publications:	12
Scientific articles:	12
Presentations:	1

Number of views:
This page:	3039
Abstract pages:	3363
Full texts:	1262
References:	464

Senior Researcher

Candidate of physico-mathematical sciences

E-mail:

Keywords:

infinite-dimensional Lie algebras, integrable hamiltonian systems.

Subject:

Theory of Lie algebras and groups, theory of classical and quantum integrable systems.

Main publications:

T. Skrypnyk, “Quasigraded Lie algebras, the Kostant-Adler scheme, and integrable hierarchies”, Theoret. and Math. Phys., 142:2 (2005), 275–288
T. Skrypnyk, “Quantum integrable systems, non-skew-symmetric $r$-matrices and algebraic Bethe ansatz”, J. Math. Phys., 48:2 (2007), 023506, 14 pp.
T. Skrypnyk, “Integrable quantum spin chains, non-skew symmetric $r$-matrices and quasigraded Lie algebras.”, J. Geom. Phys., 57:1 (2006), 53–67
T. Skrypnyk, “Generalized $n$-level Jaynes–Cummings and Dicke models, classical rational $r$-matrices and algebraic Bethe ansatz”, J. Phys. A, 41:47 (2008), 475202, 21 pp.
T. Skrypnyk, “Isomonodromic deformations, generalized Knizhnik–Zamolodchikov equations and non-skew-symmetric classical $r$-matrices”, J. Math. Phys., 2010:8 papernumber 083516 (51), 24 pp.

https://www.mathnet.ru/eng/person64263

List of publications on Google Scholar

List of publications on ZentralBlatt

	Publications in Math-Net.Ru	Citations
	2022
1.	Taras Skrypnyk, “The Generalized Lipkin–Meshkov–Glick Model and the Modified Algebraic Bethe Ansatz”, SIGMA, 18 (2022), 074, 18 pp.
	2021
2.	Taras Skrypnyk, “Separation of Variables, Quasi-Trigonometric $r$-Matrices and Generalized Gaudin Models”, SIGMA, 17 (2021), 069, 21 pp.
	2020
3.	Guido Magnano, Taras Skrypnyk, “New Separation of Variables for the Classical XXX and XXZ Heisenberg Spin Chains”, SIGMA, 16 (2020), 047, 27 pp.
	2018
4.	T. V. Skrypnik, “Separation of variables in the anisotropic Shottky–Frahm model”, TMF, 196:3 (2018), 465–486 ; Theoret. and Math. Phys., 196:3 (2018), 1347–1365	2
	2016
5.	T. V. Skrypnyk, ““Twisted” rational $r$-matrices and the algebraic Bethe ansatz: Applications to generalized Gaudin models, Bose–Hubbard dimers, and Jaynes–Cummings–Dicke-type models”, TMF, 189:1 (2016), 125–146 ; Theoret. and Math. Phys., 189:1 (2016), 1509–1527	6
	2012
6.	B. A. Dubrovin, T. V. Skrypnik, “Classical double, $R$-operators, and negative flows of integrable hierarchies”, TMF, 172:1 (2012), 40–63 ; Theoret. and Math. Phys., 172:1 (2012), 911–931	2
	2008
7.	Taras V. Skrypnik, “Classical $R$-Operators and Integrable Generalizations of Thirring Equations”, SIGMA, 4 (2008), 011, 19 pp.	5
8.	T. V. Skrypnik, “Dual $R$-matrix integrability”, TMF, 155:1 (2008), 147–160 ; Theoret. and Math. Phys., 155:1 (2008), 633–645	7
	2006
9.	Taras V. Skrypnyk, “Quasigraded Lie Algebras and Modified Toda Field Equations”, SIGMA, 2 (2006), 043, 14 pp.	5
	2005
10.	T. V. Skrypnik, “Quasigraded lie algebras, Kostant–Adler scheme, and integrable hierarchies”, TMF, 142:2 (2005), 329–345 ; Theoret. and Math. Phys., 142:2 (2005), 275–288	10
	2000
11.	A. M. Boyarsky, T. V. Skrypnik, “Singular orbits of the co-adjoint representation of Euclidean groups”, Uspekhi Mat. Nauk, 55:3(333) (2000), 169–170 ; Russian Math. Surveys, 55:3 (2000), 564–566	4
	1996
12.	A. M. Boyarsky, T. V. Skrypnik, “Singular orbits of the adjoint representation of the Lie groups $\operatorname{SO}(n)$”, Uspekhi Mat. Nauk, 51:3(309) (1996), 181–182 ; Russian Math. Surveys, 51:3 (1996), 541–542	2

Presentations in Math-Net.Ru

1.	Asymmetric variable separation for the Clebsch model T. V. Skrypnyk Cohomological geometry of differential equations April 28, 2021 19:20

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