Edit Profile (opens in new tab) Isaev, Alekseĭ Petrovich Co-Author Distance Author ID: isaev.aleksei-petrovich Published as: Isaev, A. P.; Isaev, A.; Isaev, Alexey P.; Isaev, Alexei P.; Isaev, Alexey more...less External Links: ORCID · Google Scholar · Math-Net.Ru · dblp Documents Indexed: 92 Publications since 1990, including 2 Books and 13 Additional arXiv Preprints Co-Authors: 55 Co-Authors with 80 Joint Publications 835 Co-Co-Authors all top 5 Co-Authors 10 single-authored 24 Ogievetsky, Oleg V. 9 Buchbinder, Ioseph L. 9 Fedoruk, S. A. 8 Pyatov, P. N. 7 Krivonos, S. O. 6 Derkachëv, Sergeĭ Èduardovich 6 Podoinitsyn, Mikhail A. 5 Filippov, Alexandre Tikhonovich 4 Molev, Alexander I. 3 Burdík, Čestmír 3 Hadjiivanov, Ludmil K. 3 Karakhanyan, David 3 Kirschner, Roland 3 Krykhtin, V. A. 3 Kurdikov, A. B. 3 Os’kin, A. F. 3 Provorov, A. A. 2 Chicherin, Dmitry 2 Dolgushev, Vasily A. 2 Furlan, Paolo 2 Kirillov, Anatol N. 2 Navrátil, Ondřej 2 Popowicz, Ziemowit 2 Rubakov, Valery A. 2 Sharapov, Alexey A. 2 Shumilov, L. A. 2 Todorov, Ivan T. 2 Valinevich, Pavel A. 1 Aminova, A. S. 1 Arutyunov, Gleb Eduardovich 1 Aschieri, Paolo 1 Avetisyan, Maneh 1 Bakhareva, A. S. 1 Castellani, Leonardo 1 Donets, Evgeni E. 1 Dubois-Violette, Michel 1 Gangopadhyay, Debashis 1 Gorbounov, Vassily 1 Komisarchuk, A. V. 1 Krivonos, Sergey 1 Kulish, Petr Petrovich 1 Lyakhovich, Simon L. 1 Lyakovich, S. L. 1 Mkrtchyan, Ruben L. 1 Podoinicin, M. A. 1 Pyatov, Pavel 1 Rittenberg, Vladimir 1 Rusnák, Anton 1 Sergeev, Sergeĭ Mikhaĭlovich 1 Sochichiu, Corneliu 1 Tarasov, Vitaly Olegovich 1 Todorov, I. I. 1 Tolstoĭ, Valeriĭ Nikolaevich 1 Tsulaia, M. M. 1 Zalyapin, Vladimir Il’ich all top 5 Serials 11 Nuclear Physics. B 9 Theoretical and Mathematical Physics 7 Journal of Physics A: Mathematical and General 5 Letters in Mathematical Physics 4 International Journal of Modern Physics A 4 Journal of Mathematical Physics 4 Journal of High Energy Physics 4 Journal of Physics A: Mathematical and Theoretical 3 Modern Physics Letters A 3 Physics Letters. B 3 Czechoslovak Journal of Physics 2 Journal of Mathematical Sciences (New York) 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 IMRN. International Mathematics Research Notices 1 Nuclear Physics. B. Proceedings Supplements 1 St. Petersburg Mathematical Journal 1 Advances in Theoretical and Mathematical Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Journal of Computational and Engineering Mathematics all top 5 Fields 70 Quantum theory (81-XX) 40 Nonassociative rings and algebras (17-XX) 20 Associative rings and algebras (16-XX) 12 Group theory and generalizations (20-XX) 11 Topological groups, Lie groups (22-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Combinatorics (05-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Algebraic geometry (14-XX) 3 Differential geometry (53-XX) 2 Category theory; homological algebra (18-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 508 times in 293 Documents Cited by ▼ Year ▼ Conformal algebra: R-matrix and star-triangle relation. Zbl 1342.81204 Chicherin, D.; Derkachov, S.; Isaev, A. P. 35 2013 A new fusion procedure for the Brauer algebra and evaluation homomorphisms. Zbl 1276.20006 Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V. 32 2012 Multi-loop Feynman integrals and conformal quantum mechanics. Zbl 1034.81037 Isaev, A. P. 29 2003 On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. Zbl 0929.17016 Isaev, A.; Ogievetsky, O.; Pyatov, P. 26 1999 Para-Grassmann analysis and quantum groups. Zbl 1021.81570 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 19 1992 Diffusion algebras. Zbl 1053.16019 Isaev, A. P.; Pyatov, P. N.; Rittenberg, V. 18 2001 On baxterized solutions of reflection equation and integrable chain models. Zbl 1116.82010 Isaev, A. P.; Ogievetsky, O. V. 18 2007 Model of massless relativistic particle with continuous spin and its twistorial description. Zbl 1395.83069 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P.; Rusnak, A. 17 2018 Para-Grassmann extensions of the Virasoro algebra. Zbl 0985.81529 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 16 1993 Twistorial and space-time descriptions of massless infinite spin (super)particles and fields. Zbl 1430.83057 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P. 15 2019 Idempotents for Birman-Murakami-Wenzl algebras and reflection equation. Zbl 1343.17010 Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V. 14 2014 Fusion procedure for the Brauer algebra. Zbl 1219.81147 Isaev, A. P.; Molev, A. I. 14 2011 Hecke algebraic properties of dynamical \(R\)-matrices. Application to related quantum matrix algebras. Zbl 1037.81548 Hadjiivanov, L. K.; Isaev, A. P.; Ogievetsky, O. V.; Pyatov, P. N.; Todorov, I. T. 12 1999 Covariant differential complexes on quantum linear groups. Zbl 0860.58003 Isaev, A. P.; Pyatov, P. N. 12 1995 Generalized Cayley-Hamilton-Newton identities. Zbl 0948.81013 Isaev, A.; Ogievetsky, O.; Pyatov, P. 12 1998 The spinorial \(R\)-matrix. Zbl 1280.81143 Chicherin, D.; Derkachov, S.; Isaev, A. P. 12 2013 Two-spinor description of massive particles and relativistic spin projection operators. Zbl 1382.81238 Isaev, A. P.; Podoinitsyn, M. A. 11 2018 On the idempotents of Hecke algebras. Zbl 1167.20303 Isaev, A. P.; Molev, A. I.; Os’kin, A. F. 10 2008 Orthogonal and symplectic Yangians and Yang-Baxter \(R\)-operators. Zbl 1332.81096 Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 10 2016 Para-Grassmann integral, discrete systems and quantum groups. Zbl 1073.81613 Isaev, A. P. 9 1997 Paragrassmann differential calculus. Zbl 0822.58003 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 9 1993 Theory of groups and symmetries. Finite groups, Lie groups, and Lie algebras. Zbl 1465.17001 Isaev, Alexey P.; Rubakov, Valery A. 9 2018 Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras. Zbl 1371.17003 Fuksa, J.; Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 8 2017 Twisted Yang-Baxter equations for linear quantum (super)groups. Zbl 0905.35075 Isaev, A. P. 8 1996 Theory of groups and symmetries. Representations of groups and Lie algebras, applications. Zbl 1459.17001 Isaev, Alexey P.; Rubakov, Valery A. 7 2021 Towards Lagrangian construction for infinite half-integer spin field. Zbl 1473.81098 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P.; Krykhtin, V. A. 7 2020 Bethe subalgebras in Hecke algebra and Gaudin models. Zbl 1292.81077 Isaev, Alexey P.; Kirillov, Anatol N. 6 2014 Harmonic oscillator realization of the canonical q-transformation. Zbl 0725.17022 Filippov, A. T.; Gangopadhyay, Debashis; Isaev, A. P. 6 1991 Spectral extension of the quantum group cotangent bundle. Zbl 1179.58003 Isaev, Alexei P.; Pyatov, Pavel 6 2009 Braids, shuffles and symmetrizers. Zbl 1176.81066 Isaev, A. P.; Ogievetsky, O. V. 6 2009 Tetrahedron reflection equations. Zbl 1020.82555 Isaev, A. P.; Kulish, P. P. 5 1997 BRST operator for quantum Lie algebras: explicit formula. Zbl 1080.17015 Isaev, A. P.; Ogievetsky, O. 5 2004 Half-quantum linear algebra. Zbl 1297.81109 Isaev, A.; Ogievetsky, O. 5 2013 Functional equations for transfer-matrix operators in open Hecke chain models. Zbl 1127.82013 Isaev, A. P. 5 2007 BRST operator for quantum Lie algebras and differential calculus on quantum groups. Zbl 1033.58008 Isaev, A. P.; Ogievetsky, O. V. 5 2001 Quantum matrix algebra for the \(\text{SU}(n)\) WZNW model. Zbl 1116.81033 Furlan, P.; Hadjiivanov, L. K.; Isaev, A. P.; Ogievetsky, O. V.; Pyatov, P. N.; Todorov, I. T. 5 2003 Discretized Yang-Mills and Born-Infeld actions on finite group geometries. Zbl 1161.58004 Aschieri, P.; Castellani, L.; Isaev, A. P. 5 2003 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 \(GL_ q(N)\)-covariant braided differential bialgebras. Zbl 0843.17018 Isaev, A. P.; Vladimirov, A. A. 4 1995 Massless finite and infinite spin representations of Poincaré group in six dimensions. Zbl 1504.22011 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P.; Podoinitsyn, M. A. 4 2021 Projectors on invariant subspaces of representations \(\text{ad}^{\otimes 2}\) of Lie algebras \(so(N)\) and \(sp(2r)\) and Vogel parameterization. Zbl 1507.17022 Isaev, A. P.; Provorov, A. A. 4 2021 On \(R\)-matrix representations of Birman-Murakami-Wenzl algebras. Zbl 1181.17005 Isaev, A. P.; Ogievetskiĭ, O. V.; Pyatov, P. N. 3 2004 Becchi-Rouet-Stora-Tyutin operators for \(W\) algebras. Zbl 1152.81486 Isaev, A. P.; Krivonos, S. O.; Ogievetsky, O. V. 3 2008 Yang-Baxter \(R\)-operators for \(osp\) superalgebras. Zbl 1489.81035 Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 3 2021 Twistor formulation of massless \(6D\) infinite spin fields. Zbl 1480.81087 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P. 3 2021 On the off-shell superfield Lagrangian formulation of \(4D\), \(\mathcal{N} = 1\) supersymmetric infinite spin theory. Zbl 1496.81090 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P.; Krykhtin, V. A. 3 2022 Massless infinite spin (super)particles and fields. Zbl 1445.81036 Buchbinder, I. L.; Isaev, A. P.; Fedoruk, S. A. 3 2020 Conformal triangles and zig-zag diagrams. Zbl 1497.81077 Derkachov, S.; Isaev, A. P.; Shumilov, L. 3 2022 Bethe subalgebras in affine Birman-Murakami-Wenzl algebras and flat connections for q-KZ equations. Zbl 1357.81121 Isaev, A. P.; Kirillov, A. N.; Tarasov, V. O. 2 2016 Quantum group covariant noncommutative geometry. Zbl 0828.58004 Isaev, A. P. 2 1994 BRST operator for quantum Lie algebras: relation to the bar complex. Zbl 1178.81101 Gorbounov, V. A.; Isaev, A. P.; Ogievetsky, O. V. 2 2004 Poincaré-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups. Zbl 0864.17026 Arutyunov, G. E.; Isaev, A. P.; Popowicz, Z. 2 1995 \(D\)-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents. Zbl 1519.81288 Isaev, A. P.; Podoinitsyn, M. A. 2 2020 \(q\)-multilinear algebra. Zbl 1006.17018 Isaev, A.; Ogievetsky, O.; Pyatov, P. 1 2000 Gauge models of fermionic discrete “strings”. Zbl 1020.81774 Filippov, A. T.; Isaev, A. P. 1 1990 Modified affine Hecke algebras and Drinfeldians of type A. Zbl 1071.17501 Tolstoy, V. N.; Ogievetsky, O. V.; Pyatov, P. N.; Isaev, A. P. 1 2000 A finite dimensional gauge problem in the WZNW model. Zbl 1037.81575 Dubois-Violette, M.; Furlan, P.; Hadjiivanov, L. K.; Isaev, A. P.; Pyatov, P. N.; Todorov, I. I. 1 2000 Brane vacuum as chain of rotators. Zbl 0990.81536 Donets, E. E.; Isaev, A. P.; Sochichiu, Corneliu; Tsulaia, M. 1 2000 Unitary representations of the Wigner group \(\operatorname{ISL}(2, \mathbb{C})\) and a two-spinor description of massive particles with an arbitrary spin. Zbl 1398.81086 Isaev, A. P.; Podoinicin, M. A. 1 2018 Spin chain models of free fermions. Zbl 1320.82018 Burdík, Č.; Isaev, A. P.; Krivonos, S. O.; Navrátil, O. 1 2014 Interrelations between quantum groups and reflection equation (braided) algebras. Zbl 0878.17012 Isaev, A. P. 1 1995 BRST and anti-BRST operators for quantum linear algebra \(U_q(\text{gl}(N))\). Zbl 1006.81037 Isaev, A. P.; Ogievetsky, O. V. 1 2001 Polarization tensors for massive arbitrary-spin particles and the Behrends-Fronsdal projection operator. Zbl 1419.81021 Isaev, A. P.; Podoinitsyn, Mikhail A. 1 2019 Open Hecke chains and free fermions. Zbl 1129.81043 Isaev, A. P.; Os’kin, A. F. 1 2006 Quantum Lax operators and discrete \(2+1\)-dimensional integrable models. Zbl 1032.82010 Isaev, A. P.; Sergeev, S. M. 1 2003 Split Casimir operator for simple Lie algebras, solutions of Yang-Baxter equations, and Vogel parameters. Zbl 1485.17021 Isaev, A. P.; Krivonos, S. O. 1 2021 On the off-shell superfield Lagrangian formulation of \(4D\), \(\mathcal{N} = 1\) supersymmetric infinite spin theory. Zbl 1496.81090 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P.; Krykhtin, V. A. 3 2022 Conformal triangles and zig-zag diagrams. Zbl 1497.81077 Derkachov, S.; Isaev, A. P.; Shumilov, L. 3 2022 Theory of groups and symmetries. Representations of groups and Lie algebras, applications. Zbl 1459.17001 Isaev, Alexey P.; Rubakov, Valery A. 7 2021 Massless finite and infinite spin representations of Poincaré group in six dimensions. Zbl 1504.22011 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P.; Podoinitsyn, M. A. 4 2021 Projectors on invariant subspaces of representations \(\text{ad}^{\otimes 2}\) of Lie algebras \(so(N)\) and \(sp(2r)\) and Vogel parameterization. Zbl 1507.17022 Isaev, A. P.; Provorov, A. A. 4 2021 Yang-Baxter \(R\)-operators for \(osp\) superalgebras. Zbl 1489.81035 Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 3 2021 Twistor formulation of massless \(6D\) infinite spin fields. Zbl 1480.81087 Buchbinder, I. L.; Fedoruk, S. A.; Isaev, A. P. 3 2021 Split Casimir operator for simple Lie algebras, solutions of Yang-Baxter equations, and Vogel parameters. Zbl 1485.17021 Isaev, A. P.; Krivonos, S. O. 1 2021 Towards Lagrangian construction for infinite half-integer spin field. Zbl 1473.81098 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P.; Krykhtin, V. A. 7 2020 Massless infinite spin (super)particles and fields. Zbl 1445.81036 Buchbinder, I. L.; Isaev, A. P.; Fedoruk, S. A. 3 2020 \(D\)-dimensional spin projection operators for arbitrary type of symmetry via Brauer algebra idempotents. Zbl 1519.81288 Isaev, A. P.; Podoinitsyn, M. A. 2 2020 Twistorial and space-time descriptions of massless infinite spin (super)particles and fields. Zbl 1430.83057 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P. 15 2019 Polarization tensors for massive arbitrary-spin particles and the Behrends-Fronsdal projection operator. Zbl 1419.81021 Isaev, A. P.; Podoinitsyn, Mikhail A. 1 2019 Model of massless relativistic particle with continuous spin and its twistorial description. Zbl 1395.83069 Buchbinder, I. L.; Fedoruk, S.; Isaev, A. P.; Rusnak, A. 17 2018 Two-spinor description of massive particles and relativistic spin projection operators. Zbl 1382.81238 Isaev, A. P.; Podoinitsyn, M. A. 11 2018 Theory of groups and symmetries. Finite groups, Lie groups, and Lie algebras. Zbl 1465.17001 Isaev, Alexey P.; Rubakov, Valery A. 9 2018 Unitary representations of the Wigner group \(\operatorname{ISL}(2, \mathbb{C})\) and a two-spinor description of massive particles with an arbitrary spin. Zbl 1398.81086 Isaev, A. P.; Podoinicin, M. A. 1 2018 Yangians and Yang-Baxter R-operators for ortho-symplectic superalgebras. Zbl 1371.17003 Fuksa, J.; Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 8 2017 Orthogonal and symplectic Yangians and Yang-Baxter \(R\)-operators. Zbl 1332.81096 Isaev, A. P.; Karakhanyan, D.; Kirschner, R. 10 2016 Bethe subalgebras in affine Birman-Murakami-Wenzl algebras and flat connections for q-KZ equations. Zbl 1357.81121 Isaev, A. P.; Kirillov, A. N.; Tarasov, V. O. 2 2016 Idempotents for Birman-Murakami-Wenzl algebras and reflection equation. Zbl 1343.17010 Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V. 14 2014 Bethe subalgebras in Hecke algebra and Gaudin models. Zbl 1292.81077 Isaev, Alexey P.; Kirillov, Anatol N. 6 2014 Spin chain models of free fermions. Zbl 1320.82018 Burdík, Č.; Isaev, A. P.; Krivonos, S. O.; Navrátil, O. 1 2014 Conformal algebra: R-matrix and star-triangle relation. Zbl 1342.81204 Chicherin, D.; Derkachov, S.; Isaev, A. P. 35 2013 The spinorial \(R\)-matrix. Zbl 1280.81143 Chicherin, D.; Derkachov, S.; Isaev, A. P. 12 2013 Half-quantum linear algebra. Zbl 1297.81109 Isaev, A.; Ogievetsky, O. 5 2013 A new fusion procedure for the Brauer algebra and evaluation homomorphisms. Zbl 1276.20006 Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V. 32 2012 Fusion procedure for the Brauer algebra. Zbl 1219.81147 Isaev, A. P.; Molev, A. I. 14 2011 Spectral extension of the quantum group cotangent bundle. Zbl 1179.58003 Isaev, Alexei P.; Pyatov, Pavel 6 2009 Braids, shuffles and symmetrizers. Zbl 1176.81066 Isaev, A. P.; Ogievetsky, O. V. 6 2009 On the idempotents of Hecke algebras. Zbl 1167.20303 Isaev, A. P.; Molev, A. I.; Os’kin, A. F. 10 2008 Becchi-Rouet-Stora-Tyutin operators for \(W\) algebras. Zbl 1152.81486 Isaev, A. P.; Krivonos, S. O.; Ogievetsky, O. V. 3 2008 On baxterized solutions of reflection equation and integrable chain models. Zbl 1116.82010 Isaev, A. P.; Ogievetsky, O. V. 18 2007 Functional equations for transfer-matrix operators in open Hecke chain models. Zbl 1127.82013 Isaev, A. P. 5 2007 Open Hecke chains and free fermions. Zbl 1129.81043 Isaev, A. P.; Os’kin, A. F. 1 2006 BRST operator for quantum Lie algebras: explicit formula. Zbl 1080.17015 Isaev, A. P.; Ogievetsky, O. 5 2004 On \(R\)-matrix representations of Birman-Murakami-Wenzl algebras. Zbl 1181.17005 Isaev, A. P.; Ogievetskiĭ, O. V.; Pyatov, P. N. 3 2004 BRST operator for quantum Lie algebras: relation to the bar complex. Zbl 1178.81101 Gorbounov, V. A.; Isaev, A. P.; Ogievetsky, O. V. 2 2004 Multi-loop Feynman integrals and conformal quantum mechanics. Zbl 1034.81037 Isaev, A. P. 29 2003 Quantum matrix algebra for the \(\text{SU}(n)\) WZNW model. Zbl 1116.81033 Furlan, P.; Hadjiivanov, L. K.; Isaev, A. P.; Ogievetsky, O. V.; Pyatov, P. N.; Todorov, I. T. 5 2003 Discretized Yang-Mills and Born-Infeld actions on finite group geometries. Zbl 1161.58004 Aschieri, P.; Castellani, L.; Isaev, A. P. 5 2003 Quantum Lax operators and discrete \(2+1\)-dimensional integrable models. Zbl 1032.82010 Isaev, A. P.; Sergeev, S. M. 1 2003 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 Diffusion algebras. Zbl 1053.16019 Isaev, A. P.; Pyatov, P. N.; Rittenberg, V. 18 2001 BRST operator for quantum Lie algebras and differential calculus on quantum groups. Zbl 1033.58008 Isaev, A. P.; Ogievetsky, O. V. 5 2001 BRST and anti-BRST operators for quantum linear algebra \(U_q(\text{gl}(N))\). Zbl 1006.81037 Isaev, A. P.; Ogievetsky, O. V. 1 2001 \(q\)-multilinear algebra. Zbl 1006.17018 Isaev, A.; Ogievetsky, O.; Pyatov, P. 1 2000 Modified affine Hecke algebras and Drinfeldians of type A. Zbl 1071.17501 Tolstoy, V. N.; Ogievetsky, O. V.; Pyatov, P. N.; Isaev, A. P. 1 2000 A finite dimensional gauge problem in the WZNW model. Zbl 1037.81575 Dubois-Violette, M.; Furlan, P.; Hadjiivanov, L. K.; Isaev, A. P.; Pyatov, P. N.; Todorov, I. I. 1 2000 Brane vacuum as chain of rotators. Zbl 0990.81536 Donets, E. E.; Isaev, A. P.; Sochichiu, Corneliu; Tsulaia, M. 1 2000 On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. Zbl 0929.17016 Isaev, A.; Ogievetsky, O.; Pyatov, P. 26 1999 Hecke algebraic properties of dynamical \(R\)-matrices. Application to related quantum matrix algebras. Zbl 1037.81548 Hadjiivanov, L. K.; Isaev, A. P.; Ogievetsky, O. V.; Pyatov, P. N.; Todorov, I. T. 12 1999 Generalized Cayley-Hamilton-Newton identities. Zbl 0948.81013 Isaev, A.; Ogievetsky, O.; Pyatov, P. 12 1998 Para-Grassmann integral, discrete systems and quantum groups. Zbl 1073.81613 Isaev, A. P. 9 1997 Tetrahedron reflection equations. Zbl 1020.82555 Isaev, A. P.; Kulish, P. P. 5 1997 Twisted Yang-Baxter equations for linear quantum (super)groups. Zbl 0905.35075 Isaev, A. P. 8 1996 Covariant differential complexes on quantum linear groups. Zbl 0860.58003 Isaev, A. P.; Pyatov, P. N. 12 1995 \(GL_ q(N)\)-covariant braided differential bialgebras. Zbl 0843.17018 Isaev, A. P.; Vladimirov, A. A. 4 1995 Poincaré-Birkhoff-Witt property for bicovariant differential algebras on simple quantum groups. Zbl 0864.17026 Arutyunov, G. E.; Isaev, A. P.; Popowicz, Z. 2 1995 Interrelations between quantum groups and reflection equation (braided) algebras. Zbl 0878.17012 Isaev, A. P. 1 1995 Quantum group covariant noncommutative geometry. Zbl 0828.58004 Isaev, A. P. 2 1994 Para-Grassmann extensions of the Virasoro algebra. Zbl 0985.81529 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 16 1993 Paragrassmann differential calculus. Zbl 0822.58003 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 9 1993 Para-Grassmann analysis and quantum groups. Zbl 1021.81570 Filippov, A. T.; Isaev, A. P.; Kurdikov, A. B. 19 1992 Harmonic oscillator realization of the canonical q-transformation. Zbl 0725.17022 Filippov, A. T.; Gangopadhyay, Debashis; Isaev, A. P. 6 1991 Gauge models of fermionic discrete “strings”. Zbl 1020.81774 Filippov, A. T.; Isaev, A. P. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 353 Authors 31 Isaev, Alekseĭ Petrovich 18 Saponov, Pavel A. 17 Gurevich, Dmitrii 15 Ogievetsky, Oleg V. 13 Buchbinder, Ioseph L. 12 Derkachëv, Sergeĭ Èduardovich 10 Poulain D’Andecy, Loïc 10 Reyes, Armando 9 Fedoruk, S. A. 8 Karakhanyan, David 8 Kazakov, Vladimir A. 8 Kirschner, Roland 7 Olivucci, Enrico 6 Crampé, Nicolas 6 Molev, Alexander I. 5 Pyatov, P. N. 5 Pyatov, Pavel 5 Suárez, Héctor 4 Chicherin, Dmitry 4 Drummond, James M. 4 Hadjiivanov, Ludmil K. 4 Krykhtin, V. A. 4 Madan, Dilip B. 4 Mansour, Toufik 4 Podoinitsyn, Mikhail A. 4 Regelskis, Vidas 4 Schork, Matthias 3 Arutyunov, Gleb Eduardovich 3 Cao, Junpeng 3 Flores, Marcelo 3 Furlan, Paolo 3 Gromov, Nikolay A. 3 Jing, Naihuan 3 Kirillov, Anatol N. 3 Kondrashuk, Igor 3 Kuzenko, Sergei M. 3 Li, Guangliang 3 Metsaev, R. R. 3 Ponds, Michael 3 Ragoucy, Eric 3 Rocca, Mario C. 3 Yang, Wenli 2 Altintas, Azmi Ali 2 Basso, Benjamin 2 Caetano, João 2 Chervov, Alexander Viktorovich 2 Cirilo Lombardo, Diego Julio 2 Daoud, Mohammed 2 Dixon, Lance J. 2 Domokos, Mátyás 2 Evans, Martin R. 2 Falqui, Gregorio 2 Ferrando, Gwenaël 2 Ferri, Gustavo L. 2 Fleury, Thiago 2 Frassek, Rouven 2 Frydryszak, Andrzej M. 2 Gangopadhyay, Debashis 2 Gerrard, Allan 2 Gurevich, Dimitry 2 Hao, Kun 2 Herlemont, Basile 2 Khabarov, M. V. 2 Kožić, Slaven 2 Krivonos, S. O. 2 Kulish, Petr Petrovich 2 Lavrov, Petr M. 2 Leclercq, Régis 2 Lezama, Oswaldo 2 Mallick, Kirone 2 Marquette, Ian 2 Medvedev, P. B. 2 Mukhin, Evgeny 2 Najafizadeh, Mojtaba 2 Onishchenko, Andrei I. 2 Ozaydin, Fatih 2 Provorov, A. A. 2 Rubtsov, Vladimir Nikolaevich 2 Semikhatov, Alexei M. 2 Sharapov, Alexey A. 2 Shi, Kangjie 2 Shumilov, L. A. 2 Silantyev, Alexey 2 Todorov, Ivan T. 2 Vanicat, Matthieu 2 Vinet, Luc 2 Xue, Panpan 2 Yoneyama, Akihito 2 Zaimi, Meri 2 Zhong, De-Liang 2 Zinn-Justin, Paul 1 Accardi, Luigi 1 Access, P. A. Saponov 1 Ahmedov, Haji 1 Akhmedov, Emil T. 1 Algethami, Dakhilallah 1 Alkalaev, Konstantin 1 Antonenko, Pavel V. 1 Aprile, Francesco 1 Arbuzov, Andrej B. ...and 253 more Authors all top 5 Cited in 64 Serials 44 Journal of High Energy Physics 23 Journal of Mathematical Physics 23 Nuclear Physics. B 22 Theoretical and Mathematical Physics 13 International Journal of Modern Physics A 13 Letters in Mathematical Physics 11 Journal of Geometry and Physics 10 Communications in Mathematical Physics 10 Physics Letters. B 10 Journal of Physics A: Mathematical and Theoretical 6 Communications in Algebra 5 Modern Physics Letters A 5 Journal of Algebra 5 Algebras and Representation Theory 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Pure and Applied Algebra 4 St. Petersburg Mathematical Journal 4 Advances in Applied Clifford Algebras 3 Journal of Statistical Physics 3 Physica A 3 Reports on Mathematical Physics 3 Advances in Applied Mathematics 3 Journal of Mathematical Sciences (New York) 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Statistical Mechanics: Theory and Experiment 3 Annals of Finance 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Transformation Groups 2 Annales Henri Poincaré 2 Quantum Information Processing 2 Algebra and Discrete Mathematics 2 International Journal of Quantum Information 2 Communications in Mathematics and Statistics 1 International Journal of Modern Physics B 1 International Journal of Theoretical Physics 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Dissertationes Mathematicae 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 International Journal of Algebra and Computation 1 Journal of Knot Theory and its Ramifications 1 Journal of Algebraic Combinatorics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Finance and Stochastics 1 Mathematical Physics, Analysis and Geometry 1 Mathematical Methods of Operations Research 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Nonlinear Science and Numerical Simulation 1 Physical Review Letters 1 Journal of Algebra and its Applications 1 The European Physical Journal C. Particles and Fields 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematics and Financial Economics 1 Communications in Theoretical Physics 1 Revista Integración 1 International Journal of Applied and Computational Mathematics 1 AIMS Mathematics 1 Winter Braids Lecture Notes all top 5 Cited in 38 Fields 203 Quantum theory (81-XX) 96 Nonassociative rings and algebras (17-XX) 74 Associative rings and algebras (16-XX) 37 Statistical mechanics, structure of matter (82-XX) 36 Group theory and generalizations (20-XX) 21 Relativity and gravitational theory (83-XX) 18 Combinatorics (05-XX) 17 Global analysis, analysis on manifolds (58-XX) 14 Topological groups, Lie groups (22-XX) 14 Mechanics of particles and systems (70-XX) 13 Algebraic geometry (14-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Functional analysis (46-XX) 11 Probability theory and stochastic processes (60-XX) 9 Differential geometry (53-XX) 9 Manifolds and cell complexes (57-XX) 7 Category theory; homological algebra (18-XX) 7 Partial differential equations (35-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Special functions (33-XX) 4 Commutative algebra (13-XX) 3 Operator theory (47-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Geometry (51-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Citations by Year