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Shirokov, Igor’ Viktorovich

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Author ID: shirokov.igor-v Recent zbMATH articles by "Shirokov, Igor’ Viktorovich"
Published as: Shirokov, I. V.; Shirokov, Igor V.; Shirokov, I.
External Links: ORCID · Math-Net.Ru
Documents Indexed: 53 Publications since 1990

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 87 times in 44 Documents Cited by Year
Noncommutative integration of linear differential equations. Zbl 0856.35109
Shapovalov, A. V.; Shirokov, I. V.
17
1995
Symmetry algebras of linear differential equations. Zbl 0799.35013
Shapovalov, A. V.; Shirokov, I. V.
10
1992
Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups. Zbl 0967.22004
Shirokov, I. V.
9
2000
New solutions of relativistic wave equations in magnetic fields and longitudinal fields. Zbl 1059.81034
Bagrov, V. G.; Baldiotti, M. C.; Gitman, D. M.; Shirokov, I. V.
7
2002
Vacuum polarization of a scalar field on Lie groups and homogeneous spaces. Zbl 1274.81174
Breev, A. I.; Shirokov, I. V.; Magazev, A. A.
4
2011
Polarization of a spinor field vacuum on manifolds of the Lie groups. Zbl 1202.81138
Breev, A. I.; Shirokov, I. V.
4
2009
The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction. Zbl 0890.58098
Shapovalov, A. V.; Shirokov, I. V.
3
1996
Identities and invariant operators on homogeneous spaces. Zbl 0999.22024
Shirokov, I. V.
3
2001
Quantum Hamiltonian systems on \(K\)-orbits: semiclassical spectrum of the asymmetric top. Zbl 1035.81023
Baranovskii, S. P.; Mikheev, V. V.; Shirokov, I. V.
3
2001
Identities on solutions of the wave equation in the enveloping algebra of the conformal group. Zbl 0705.35079
Bagrov, V. G.; Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.
3
1990
Integration of geodesic flows on homogeneous spaces: the case of a wild Lie group. Zbl 1178.37058
Magazev, A. A.; Shirokov, I. V.
3
2003
Prolongations of vector fields on Lie groups and homogeneous spaces. Zbl 1178.53046
Baranovskii, S. P.; Shirokov, I. V.
3
2003
Computation of composition functions and invariant vector fields in terms of structure constants of associated Lie algebras. Zbl 1327.22007
Magazev, Alexey A.; Mikheyev, Vitaly V.; Shirokov, Igor V.
2
2015
Deformations of vector fields and canonical coordinates on coadjoint orbits. Zbl 1224.53121
Baranovskiĭ, S. P.; Shirokov, I. V.
2
2009
Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold \(R \otimes G\). Zbl 1145.81392
Breev, A. I.; Shirokov, I. V.; Razumov, D. N.
2
2007
Integrable magnetic geodesic flows on Lie groups. Zbl 1151.37049
Magazev, A. A.; Shirokov, I. V.; Yurevich, Yu. A.
2
2008
Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods. Zbl 1352.22013
Kurnyavko, O. L.; Shirokov, I. V.
1
2016
Generation of new exactly solvable potentials of a nonstationary Schrödinger equation. Zbl 0745.35032
Bagrov, V. G.; Shapovalov, A. V.; Shirokov, I. V.
1
1991
Differential invariants and operators of invariant differentiation of the projectable action of Lie groups. Zbl 1326.35015
Goncharovskii, M. M.; Shirokov, I. V.
1
2015
Four-dimensional Lie group integration of the Klein-Fock equation. Zbl 1063.81526
Baranovskii, S. P.; Mikheev, V. V.; Shirokov, I. V.
1
2002
Application of the \(K\)-orbit method to a solution of thermodynamics problems for noncompact Lie groups. Zbl 1063.81631
Mikheev, V. V.; Shirokov, I. V.
1
2002
Method of orbits of coadjoint representation in thermodynamics of noncompact Lie groups. Zbl 1133.80001
Mikheev, V. V.; Shirokov, I. V.
1
2007
Integrable field models on manifolds of the Lie groups. Zbl 1136.81393
Uglirzh, A. Yu.; Shirokov, I. V.
1
2007
An integrable class of differential equations with nonlocal nonlinearity on Lie groups. Zbl 1186.35230
Goncharovskii, M. M.; Shirokov, I. V.
1
2009
Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields. Zbl 1151.81331
Kurnyavko, O. L.; Shirokov, I. V.
1
2008
Differential invariants of the transformation group of a homogeneous space. Zbl 1164.35309
Shirokov, I. V.
1
2007
Construction of invariants of the coadjoint representation of Lie groups using linear algebra methods. Zbl 1352.22013
Kurnyavko, O. L.; Shirokov, I. V.
1
2016
Computation of composition functions and invariant vector fields in terms of structure constants of associated Lie algebras. Zbl 1327.22007
Magazev, Alexey A.; Mikheyev, Vitaly V.; Shirokov, Igor V.
2
2015
Differential invariants and operators of invariant differentiation of the projectable action of Lie groups. Zbl 1326.35015
Goncharovskii, M. M.; Shirokov, I. V.
1
2015
Vacuum polarization of a scalar field on Lie groups and homogeneous spaces. Zbl 1274.81174
Breev, A. I.; Shirokov, I. V.; Magazev, A. A.
4
2011
Polarization of a spinor field vacuum on manifolds of the Lie groups. Zbl 1202.81138
Breev, A. I.; Shirokov, I. V.
4
2009
Deformations of vector fields and canonical coordinates on coadjoint orbits. Zbl 1224.53121
Baranovskiĭ, S. P.; Shirokov, I. V.
2
2009
An integrable class of differential equations with nonlocal nonlinearity on Lie groups. Zbl 1186.35230
Goncharovskii, M. M.; Shirokov, I. V.
1
2009
Integrable magnetic geodesic flows on Lie groups. Zbl 1151.37049
Magazev, A. A.; Shirokov, I. V.; Yurevich, Yu. A.
2
2008
Construction of invariant scalar particle wave equations on Riemannian manifolds with external gauge fields. Zbl 1151.81331
Kurnyavko, O. L.; Shirokov, I. V.
1
2008
Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold \(R \otimes G\). Zbl 1145.81392
Breev, A. I.; Shirokov, I. V.; Razumov, D. N.
2
2007
Method of orbits of coadjoint representation in thermodynamics of noncompact Lie groups. Zbl 1133.80001
Mikheev, V. V.; Shirokov, I. V.
1
2007
Integrable field models on manifolds of the Lie groups. Zbl 1136.81393
Uglirzh, A. Yu.; Shirokov, I. V.
1
2007
Differential invariants of the transformation group of a homogeneous space. Zbl 1164.35309
Shirokov, I. V.
1
2007
Integration of geodesic flows on homogeneous spaces: the case of a wild Lie group. Zbl 1178.37058
Magazev, A. A.; Shirokov, I. V.
3
2003
Prolongations of vector fields on Lie groups and homogeneous spaces. Zbl 1178.53046
Baranovskii, S. P.; Shirokov, I. V.
3
2003
New solutions of relativistic wave equations in magnetic fields and longitudinal fields. Zbl 1059.81034
Bagrov, V. G.; Baldiotti, M. C.; Gitman, D. M.; Shirokov, I. V.
7
2002
Four-dimensional Lie group integration of the Klein-Fock equation. Zbl 1063.81526
Baranovskii, S. P.; Mikheev, V. V.; Shirokov, I. V.
1
2002
Application of the \(K\)-orbit method to a solution of thermodynamics problems for noncompact Lie groups. Zbl 1063.81631
Mikheev, V. V.; Shirokov, I. V.
1
2002
Identities and invariant operators on homogeneous spaces. Zbl 0999.22024
Shirokov, I. V.
3
2001
Quantum Hamiltonian systems on \(K\)-orbits: semiclassical spectrum of the asymmetric top. Zbl 1035.81023
Baranovskii, S. P.; Mikheev, V. V.; Shirokov, I. V.
3
2001
Darboux coordinates on \(K\)-orbits and the spectra of Casimir operators on Lie groups. Zbl 0967.22004
Shirokov, I. V.
9
2000
The method of noncommutative integration for linear differential equations. Functional algebras and noncommutative dimensional reduction. Zbl 0890.58098
Shapovalov, A. V.; Shirokov, I. V.
3
1996
Noncommutative integration of linear differential equations. Zbl 0856.35109
Shapovalov, A. V.; Shirokov, I. V.
17
1995
Symmetry algebras of linear differential equations. Zbl 0799.35013
Shapovalov, A. V.; Shirokov, I. V.
10
1992
Generation of new exactly solvable potentials of a nonstationary Schrödinger equation. Zbl 0745.35032
Bagrov, V. G.; Shapovalov, A. V.; Shirokov, I. V.
1
1991
Identities on solutions of the wave equation in the enveloping algebra of the conformal group. Zbl 0705.35079
Bagrov, V. G.; Samsonov, B. F.; Shapovalov, A. V.; Shirokov, I. V.
3
1990

Citations by Year