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Lyakhovich, Simon L.

Author ID: lyakhovich.simon-l Recent zbMATH articles by "Lyakhovich, Simon L."
Published as: Lyakhovich, S. L.; Lyakhovich, Simon L.; Lyakhovich, S.; Lyakhovich, Simon
External Links: ORCID

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 311 times in 184 Documents Cited by Year
Characteristic classes of gauge systems. Zbl 1198.81179
Lyakhovich, S. L.; Sharapov, A. A.
21
2004
Poisson geometry of sigma models with extended supersymmetry. Zbl 0999.81044
Lyakhovich, Simon; Zabzine, Maxim
19
2002
Fedosov deformation quantization as a BRST theory. Zbl 1024.53055
Grigoriev, M. A.; Lyakhovich, S. L.
18
2001
Star product for second-class constraint systems from a BRST theory. Zbl 1040.81046
Batalin, I. A.; Grigoriev, M. A.; Lyakhovich, S. L.
15
2001
Consistent interactions and involution. Zbl 1342.81296
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
15
2013
Rigid symmetries and conservation laws in non-Lagrangian field theory. Zbl 1312.70025
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
15
2010
Characteristic classes of Q-manifolds: classification and applications. Zbl 1188.58003
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A.
12
2010
Local BRST cohomology in (non-)Lagrangian field theory. Zbl 1301.81266
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
12
2011
Wick type deformation quantization of Fedosov manifolds. Zbl 0969.81635
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A.
11
2001
On the gauge symmetries of Maxwell-like higher-spin Lagrangians. Zbl 1284.70047
Francia, Dario; Lyakhovich, Simon L.; Sharapov, Alexey A.
10
2014
Stable interactions between the extended Chern-Simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism. Zbl 1423.81129
Abakumova, V. A.; Kaparulin, D. S.; Lyakhovich, S. L.
9
2019
A geometric model of the arbitrary spin massive particle. Zbl 0985.81564
Kuzenko, S. M.; Lyakhovich, S. L.; Segal, A. Yu.
8
1995
On the stability of a nonlinear oscillator with higher derivatives. Zbl 1326.70050
Kaparulin, D. S.; Lyakhovich, S. L.
8
2015
On Lagrange structure of unfolded field theory. Zbl 1214.81281
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
8
2011
BRST analysis of general mechanical systems. Zbl 1283.81095
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
8
2013
Non-Abelian conversion and quantization of nonscalar second-class constraints. Zbl 1110.53064
Batalin, I.; Grigoriev, M.; Lyakhovich, S.
7
2005
Quantization of Donaldson-Uhlenbeck-Yau theory. Zbl 1246.81142
Lyakhovich, S. L.; Sharapov, A. A.
7
2007
Normal forms and gauge symmetry of local dynamics. Zbl 1298.81352
Lyakhovich, S. L.; Sharapov, A. A.
7
2009
Split involution and second class constraints. Zbl 1021.81932
Batalin, I. A.; Lyakhovich, S. L.; Tyutin, I. V.
7
1992
Lagrange anchor and characteristic symmetries of free massless fields. Zbl 1248.81040
Kaparulin, Dmitry S.; Lyakhovich, Simon L.; Sharapov, Alexey A.
7
2012
Stable interactions via proper deformations. Zbl 1342.81239
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
7
2016
BRST quantization of quasisymplectic manifolds and beyond. Zbl 1111.53072
Lyakhovich, S. L.; Sharapov, A. A.
5
2006
Deformation quantization of linear dissipative systems. Zbl 1097.81041
Kupriyanov, V. G.; Lyakhovich, S. L.; Sharapov, A. A.
5
2005
Canonical quantization of topologically massive gravity. Zbl 0786.58040
Buchbinder, I. L.; Lyakhovich, S. L.; Krykhtin, V. A.
5
1993
Wick quantization of cotangent bundles over Riemannian manifolds. Zbl 1078.53094
Gorbunov, I. V.; Lyakhovich, S. L.; Sharapov, A. A.
4
2005
Energy and stability of the Pais-Uhlenbeck oscillator. Zbl 1366.70024
Kaparulin, D. S.; Lyakhovich, S. L.
4
2015
On the Fedosov deformation quantization beyond the regular Poisson manifolds. Zbl 0999.53056
Dolgushev, V. A.; Isaev, A. P.; Lyakhovich, S. L.; Sharapov, A. A.
4
2002
A note on unfree gauge symmetry. Zbl 1435.81131
Kaparulin, D. S.; Lyakhovich, S. L.
4
2019
Unfree gauge symmetry in the Hamiltonian formalism. Zbl 1435.70044
Abakumova, V. A.; Karataeva, I. Yu.; Lyakhovich, S. L.
4
2020
A uniform model of the massive spinning particle in any dimension. Zbl 1022.81611
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
3
2000
Extended observables in Hamiltonian theories with constraints. Zbl 1018.81051
Lyakhovich, Simon L.; Marnelius, Robert
3
2001
On characteristic classes of \(Q\) -manifolds. Zbl 1164.58002
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A.
3
2008
Spinning particle in six dimensions. Zbl 0883.58034
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
3
1997
Lagrange anchor for Bargmann-Wigner equations. Zbl 1305.70044
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
3
2013
Reducible Stueckelberg symmetry and dualities. Zbl 07414544
Abakumova, V. A.; Lyakhovich, S. L.
3
2021
Hidden supersymmetry and Berezin quantization of \(N=2\), \(D=3\) spinning superparticles. Zbl 0953.81043
Gorbunov, I. V.; Lyakhovich, S. L.
2
1999
Massive spinning particle in any dimension. I: Integer spins. Zbl 0948.81553
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
2
1999
Weak Dirac bracket construction and the superparticle covariant quantization problem. Zbl 0925.81356
Deriglazov, A. A.; Galajinsky, A. V.; Lyakhovich, S. L.
2
1996
Extension of the Chern-Simons theory: conservation laws, Lagrange structures, and stability. Zbl 1416.70014
Kaparulin, D. S.; Karataeva, I. Yu.; Lyakhovich, S. L.
2
2017
Split involution coupled to actual gauge symmetry. Zbl 1044.81741
Batalin, I. A.; Tyutin, I. V.; Lyakhovich, S. L.
2
1995
Massive spinning particle on anti-de Sitter space. Zbl 1044.83516
Kuzenko, S. M.; Lyakhovich, S. L.; Segal, A. Yu.; Sharapov, A. A.
2
1996
Multiple choice of Gauge generators and consistency of interactions. Zbl 1301.70021
Lyakhovich, S. L.; Sharapov, A. A.
2
2014
On the equivalence of two approaches to the construction of interactions in higher-derivative theories. Zbl 1433.81116
Kaparulin, D. S.; Lyakhovich, S. L.
2
2017
Bounded Hamiltonian in the fourth-order extension of the Chern-Simons theory. Zbl 1437.70048
Abakumova, V. A.; Kaparulin, D. S.; Lyakhovich, S. L.
2
2018
BRST–anti-BRST covariant theory for the second class constrained systems: a general method and examples. Zbl 0944.81050
Karataeva, I. Yu.; Lyakhovich, S. L.
1
1999
Existence theorem for split involution constraint algebra. Zbl 1002.81033
Batalin, I. A.; Lyakhovich, S. L.; Tyutin, I. V.
1
2000
Projection operator approach to general constrained systems. Zbl 0994.81055
Batalin, Igor A.; Lyakhovich, Simon L.; Marnelius, Robert
1
2002
Hamiltonian BFV-BRST theory of closed quantum cosmological models. Zbl 0935.83009
Kamenshchik, A. Yu.; Lyakhovich, S. L.
1
1997
Lifting a weak Poisson bracket to the algebra of forms. Zbl 1373.53114
Lyakhovich, S.; Peddie, M.; Sharapov, A.
1
2017
Gauge symmetries in 2D field theory. Zbl 1322.81063
Lyakhovich, S. L.; Sharapov, A. A.
1
2015
World sheet of a massive spinning particle in \(d = 4\) Minkowski space. Zbl 1423.70043
Kaparulin, D. S.; Lyakhovich, S. L.; Retuntsev, I. A.
1
2019
Dualisation of free fields. Zbl 07770219
Abakumova, V. A.; Lyakhovich, S. L.
1
2023
Dynamical systems defining Jacobi’s \(\theta\)-constants. Zbl 1272.37030
Brezhnev, Yurii V.; Lyakhovich, Simon L.; Sharapov, Alexey A.
1
2011
Dualisation of free fields. Zbl 07770219
Abakumova, V. A.; Lyakhovich, S. L.
1
2023
Reducible Stueckelberg symmetry and dualities. Zbl 07414544
Abakumova, V. A.; Lyakhovich, S. L.
3
2021
Unfree gauge symmetry in the Hamiltonian formalism. Zbl 1435.70044
Abakumova, V. A.; Karataeva, I. Yu.; Lyakhovich, S. L.
4
2020
Stable interactions between the extended Chern-Simons theory and a charged scalar field with higher derivatives: Hamiltonian formalism. Zbl 1423.81129
Abakumova, V. A.; Kaparulin, D. S.; Lyakhovich, S. L.
9
2019
A note on unfree gauge symmetry. Zbl 1435.81131
Kaparulin, D. S.; Lyakhovich, S. L.
4
2019
World sheet of a massive spinning particle in \(d = 4\) Minkowski space. Zbl 1423.70043
Kaparulin, D. S.; Lyakhovich, S. L.; Retuntsev, I. A.
1
2019
Bounded Hamiltonian in the fourth-order extension of the Chern-Simons theory. Zbl 1437.70048
Abakumova, V. A.; Kaparulin, D. S.; Lyakhovich, S. L.
2
2018
Extension of the Chern-Simons theory: conservation laws, Lagrange structures, and stability. Zbl 1416.70014
Kaparulin, D. S.; Karataeva, I. Yu.; Lyakhovich, S. L.
2
2017
On the equivalence of two approaches to the construction of interactions in higher-derivative theories. Zbl 1433.81116
Kaparulin, D. S.; Lyakhovich, S. L.
2
2017
Lifting a weak Poisson bracket to the algebra of forms. Zbl 1373.53114
Lyakhovich, S.; Peddie, M.; Sharapov, A.
1
2017
Stable interactions via proper deformations. Zbl 1342.81239
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
7
2016
On the stability of a nonlinear oscillator with higher derivatives. Zbl 1326.70050
Kaparulin, D. S.; Lyakhovich, S. L.
8
2015
Energy and stability of the Pais-Uhlenbeck oscillator. Zbl 1366.70024
Kaparulin, D. S.; Lyakhovich, S. L.
4
2015
Gauge symmetries in 2D field theory. Zbl 1322.81063
Lyakhovich, S. L.; Sharapov, A. A.
1
2015
On the gauge symmetries of Maxwell-like higher-spin Lagrangians. Zbl 1284.70047
Francia, Dario; Lyakhovich, Simon L.; Sharapov, Alexey A.
10
2014
Multiple choice of Gauge generators and consistency of interactions. Zbl 1301.70021
Lyakhovich, S. L.; Sharapov, A. A.
2
2014
Consistent interactions and involution. Zbl 1342.81296
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
15
2013
BRST analysis of general mechanical systems. Zbl 1283.81095
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
8
2013
Lagrange anchor for Bargmann-Wigner equations. Zbl 1305.70044
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
3
2013
Lagrange anchor and characteristic symmetries of free massless fields. Zbl 1248.81040
Kaparulin, Dmitry S.; Lyakhovich, Simon L.; Sharapov, Alexey A.
7
2012
Local BRST cohomology in (non-)Lagrangian field theory. Zbl 1301.81266
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
12
2011
On Lagrange structure of unfolded field theory. Zbl 1214.81281
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
8
2011
Dynamical systems defining Jacobi’s \(\theta\)-constants. Zbl 1272.37030
Brezhnev, Yurii V.; Lyakhovich, Simon L.; Sharapov, Alexey A.
1
2011
Rigid symmetries and conservation laws in non-Lagrangian field theory. Zbl 1312.70025
Kaparulin, D. S.; Lyakhovich, S. L.; Sharapov, A. A.
15
2010
Characteristic classes of Q-manifolds: classification and applications. Zbl 1188.58003
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A.
12
2010
Normal forms and gauge symmetry of local dynamics. Zbl 1298.81352
Lyakhovich, S. L.; Sharapov, A. A.
7
2009
On characteristic classes of \(Q\) -manifolds. Zbl 1164.58002
Lyakhovich, S. L.; Mosman, E. A.; Sharapov, A. A.
3
2008
Quantization of Donaldson-Uhlenbeck-Yau theory. Zbl 1246.81142
Lyakhovich, S. L.; Sharapov, A. A.
7
2007
BRST quantization of quasisymplectic manifolds and beyond. Zbl 1111.53072
Lyakhovich, S. L.; Sharapov, A. A.
5
2006
Non-Abelian conversion and quantization of nonscalar second-class constraints. Zbl 1110.53064
Batalin, I.; Grigoriev, M.; Lyakhovich, S.
7
2005
Deformation quantization of linear dissipative systems. Zbl 1097.81041
Kupriyanov, V. G.; Lyakhovich, S. L.; Sharapov, A. A.
5
2005
Wick quantization of cotangent bundles over Riemannian manifolds. Zbl 1078.53094
Gorbunov, I. V.; Lyakhovich, S. L.; Sharapov, A. A.
4
2005
Characteristic classes of gauge systems. Zbl 1198.81179
Lyakhovich, S. L.; Sharapov, A. A.
21
2004
Poisson geometry of sigma models with extended supersymmetry. Zbl 0999.81044
Lyakhovich, Simon; Zabzine, Maxim
19
2002
On the Fedosov deformation quantization beyond the regular Poisson manifolds. Zbl 0999.53056
Dolgushev, V. A.; Isaev, A. P.; Lyakhovich, S. L.; Sharapov, A. A.
4
2002
Projection operator approach to general constrained systems. Zbl 0994.81055
Batalin, Igor A.; Lyakhovich, Simon L.; Marnelius, Robert
1
2002
Fedosov deformation quantization as a BRST theory. Zbl 1024.53055
Grigoriev, M. A.; Lyakhovich, S. L.
18
2001
Star product for second-class constraint systems from a BRST theory. Zbl 1040.81046
Batalin, I. A.; Grigoriev, M. A.; Lyakhovich, S. L.
15
2001
Wick type deformation quantization of Fedosov manifolds. Zbl 0969.81635
Dolgushev, V. A.; Lyakhovich, S. L.; Sharapov, A. A.
11
2001
Extended observables in Hamiltonian theories with constraints. Zbl 1018.81051
Lyakhovich, Simon L.; Marnelius, Robert
3
2001
A uniform model of the massive spinning particle in any dimension. Zbl 1022.81611
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
3
2000
Existence theorem for split involution constraint algebra. Zbl 1002.81033
Batalin, I. A.; Lyakhovich, S. L.; Tyutin, I. V.
1
2000
Hidden supersymmetry and Berezin quantization of \(N=2\), \(D=3\) spinning superparticles. Zbl 0953.81043
Gorbunov, I. V.; Lyakhovich, S. L.
2
1999
Massive spinning particle in any dimension. I: Integer spins. Zbl 0948.81553
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
2
1999
BRST–anti-BRST covariant theory for the second class constrained systems: a general method and examples. Zbl 0944.81050
Karataeva, I. Yu.; Lyakhovich, S. L.
1
1999
Spinning particle in six dimensions. Zbl 0883.58034
Lyakhovich, S. L.; Sharapov, A. A.; Shekhter, K. M.
3
1997
Hamiltonian BFV-BRST theory of closed quantum cosmological models. Zbl 0935.83009
Kamenshchik, A. Yu.; Lyakhovich, S. L.
1
1997
Weak Dirac bracket construction and the superparticle covariant quantization problem. Zbl 0925.81356
Deriglazov, A. A.; Galajinsky, A. V.; Lyakhovich, S. L.
2
1996
Massive spinning particle on anti-de Sitter space. Zbl 1044.83516
Kuzenko, S. M.; Lyakhovich, S. L.; Segal, A. Yu.; Sharapov, A. A.
2
1996
A geometric model of the arbitrary spin massive particle. Zbl 0985.81564
Kuzenko, S. M.; Lyakhovich, S. L.; Segal, A. Yu.
8
1995
Split involution coupled to actual gauge symmetry. Zbl 1044.81741
Batalin, I. A.; Tyutin, I. V.; Lyakhovich, S. L.
2
1995
Canonical quantization of topologically massive gravity. Zbl 0786.58040
Buchbinder, I. L.; Lyakhovich, S. L.; Krykhtin, V. A.
5
1993
Split involution and second class constraints. Zbl 1021.81932
Batalin, I. A.; Lyakhovich, S. L.; Tyutin, I. V.
7
1992
all top 5

Cited by 206 Authors

33 Lyakhovich, Simon L.
30 Sharapov, Alexey A.
15 Kaparulin, Dmitry S.
9 Grigoriev, Maxim
8 Skvortsov, Evgeny D.
7 Zabzine, Maxim
6 Abakumova, V. A.
6 Batalin, Igor A.
6 Lavrov, Petr M.
5 Bruce, Andrew James
5 Karataeva, I. Yu.
4 Dolgushev, Vasily A.
4 Grabowski, Janusz
4 Lindström, Ulf
4 Masterov, Ivan
4 Mosman, Elena A.
3 Boulanger, Nicolas
3 Dai, Jialiang
3 Kupriyanov, Vladislav G.
3 Li, Qin
3 Roček, Martin
3 Săraru, Silviu Constantin
3 Tran, Tung
3 Vacaru, Sergiu Ion
3 Xiang, Maosong
3 Xu, Ping
2 Abreu, Everton M. C.
2 Alkalaev, Konstantin
2 Barnich, Glenn
2 Basile, Thomas
2 Chan, Kwokwai
2 Chen, Zhuo
2 Compère, Geoffrey
2 Crichigno, P. Marcos
2 Elfimov, Boris M.
2 Fiorucci, Adrien
2 Francia, Dario
2 Geyer, Bodo
2 Gitman, Dmitri M.
2 Gorbunov, I. V.
2 Grantcharov, Gueo
2 Grigor’ev, M. A.
2 Joung, Euihun
2 Leung, Naichung Conan
2 Lukierski, Jerzy
2 Mkrtchyan, Karapet
2 Nersessian, Armen P.
2 Pandey, Vipul Kumar
2 Rahman, Rakibur
2 Ruzziconi, Romain
2 Shekhter, K. M.
2 Stiénon, Mathieu
2 Tomasiello, Alessandro
2 Tyutin, Igor Viktorovich
2 von Unge, Rikard
2 Waldron, Andrew K.
1 Adami, Hamed
1 Adamo, Tim
1 Ali, Syed Twareque
1 Anastasiei, Mihai
1 Andrade, Tomás
1 Apostolov, Vestislav
1 Avendaño-Camacho, Misael
1 Bae, Jinbeom
1 Baiderin, A. A.
1 Băluş, Oana
1 Banerjee, Rabin
1 Becher, Florian
1 Bengtsson, Anders K. H.
1 Benini, Francesco
1 Bering, Klaus
1 Berra-Montiel, Jasel
1 Bette, Andreas
1 Bojowald, Martin
1 Bonechi, Francesco
1 Bubenchikov, Mikhail Alekseevich
1 Bulygin, Andrey Dmitrievich
1 Cai, Xiongwei
1 Calaque, Damien
1 Canarutto, Daniel
1 Capobianco, Guillermo
1 Cattaneo, Alberto Sergio
1 Challinor, Anthony
1 Cioroianu, Eugen-Mihăiţă
1 Colombo, Nicolò
1 Dalmazi, Denis
1 Davidov, Johann T.
1 de Azcárraga, José A.
1 de Lacroix, Corinne
1 Deffayet, Cédric
1 Denisova, Irene P.
1 Deriglazov, Alekseĭ Aleksandrovich
1 Dhasmana, Shailesh
1 Dobrski, Michał
1 Doran, Chris J. L.
1 Engliš, Miroslav
1 Enrietti, Nicola
1 Erbin, Harold
1 Esipova, S. R.
1 Esmakhanova, Kuralay
...and 106 more Authors
all top 5

Cited in 41 Serials

31 Journal of High Energy Physics
22 Nuclear Physics. B
14 Communications in Mathematical Physics
13 International Journal of Modern Physics A
12 Journal of Mathematical Physics
9 Journal of Geometry and Physics
8 Russian Physics Journal
7 Physics Letters. B
7 Journal of Physics A: Mathematical and Theoretical
6 Letters in Mathematical Physics
5 Modern Physics Letters A
5 International Journal of Geometric Methods in Modern Physics
4 International Journal of Theoretical Physics
4 Advances in Mathematics
3 Classical and Quantum Gravity
2 Theoretical and Mathematical Physics
2 Reviews in Mathematical Physics
2 Archivum Mathematicum
2 Advances in High Energy Physics
2 Symmetry
1 International Journal of Modern Physics B
1 General Relativity and Gravitation
1 Chaos, Solitons and Fractals
1 Fortschritte der Physik
1 Applied Mathematics and Computation
1 Functional Analysis and its Applications
1 Geometriae Dedicata
1 Journal für die Reine und Angewandte Mathematik
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Differential Geometry and its Applications
1 Annals of Physics
1 Nuclear Physics. B. Proceedings Supplements
1 Gravitation & Cosmology
1 Differential Equations
1 Journal of Cosmology and Astroparticle Physics
1 Journal of Geometry and Symmetry in Physics
1 The European Physical Journal C. Particles and Fields
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Geometric Mechanics
1 Science China. Mathematics
1 Annalen der Physik

Citations by Year