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Gurevich, Dmitrii Il'ich
Statistics Math-Net.Ru
Total publications: 24
Scientific articles: 24
Presentations: 15

Number of views:
This page:3634
Abstract pages:8267
Full texts:3471
References:826
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https://www.mathnet.ru/eng/person19353
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/197100

Publications in Math-Net.Ru Citations
2023
1. D. I. Gurevich, P. A. Saponov, V. V. Sokolov, “On symmetrizers in quantum matrix algebras”, Uspekhi Mat. Nauk, 78:4(472) (2023),  203–204  mathnet  mathscinet; Russian Math. Surveys, 78:4 (2023), 785–787  isi  scopus
2021
2. D. I. Gurevich, P. A. Saponov, “Determinants in quantum matrix algebras and integrable systems”, TMF, 207:2 (2021),  261–276  mathnet; Theoret. and Math. Phys., 207:2 (2021), 626–639  isi 4
2020
3. D. I. Gurevich, P. A. Saponov, “Centers of generalized reflection equation algebras”, TMF, 204:3 (2020),  355–366  mathnet  mathscinet  elib; Theoret. and Math. Phys., 204:3 (2020), 1130–1139  isi  scopus 1
2017
4. D. I. Gurevich, P. A. Saponov, “Generalized Yangians and their Poisson counterparts”, TMF, 192:3 (2017),  351–368  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:3 (2017), 1243–1257  isi  scopus 2
2009
5. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Spectral parameterization for power sums of a quantum supermatrix”, TMF, 159:2 (2009),  207–219  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 159:2 (2009), 587–597  isi  scopus 3
2008
6. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Representation theory of (modified) Reflection Equation Algebra of $GL(m|n)$ type”, Algebra i Analiz, 20:2 (2008),  70–133  mathnet  mathscinet  zmath; St. Petersburg Math. J., 20:2 (2009), 213–253  isi 27
2006
7. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Quantum matrix algebras of the $GL(m|n)$ type: The structure and spectral parameterization of the characteristic subalgebra”, TMF, 147:1 (2006),  14–46  mathnet  mathscinet  zmath  elib; Theoret. and Math. Phys., 147:1 (2006), 460–485  isi  elib  scopus 12
2005
8. D. I. Gurevich, P. N. Pyatov, P. A. Saponov, “Cayley–Hamilton theorem for quantum matrix algebras of type $\mathrm{GL}(m\mid n)$”, Algebra i Analiz, 17:1 (2005),  160–182  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:1 (2006), 119–135 15
2004
9. D. I. Gurevich, P. A. Saponov, “Higher-Dimensional Representations of the Reflection Equation Algebra”, TMF, 139:1 (2004),  45–61  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 139:1 (2004), 486–499  isi 1
1995
10. D. I. Gurevich, V. N. Rubtsov, “Quantization of Poisson pencils and generalized Lie algebras”, TMF, 103:3 (1995),  476–488  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 103:3 (1995), 713–722  isi
1992
11. D. I. Gurevich, V. V. Lychagin, V. N. Rubtsov, “Nonholonomic filtration of cohomologies of Lie algebras and “large brackets””, Mat. Zametki, 52:1 (1992),  36–41  mathnet  mathscinet  zmath; Math. Notes, 52:1 (1992), 657–661  isi
12. D. Gurevich, A. Radul, V. Rubzov, “Non-commutative differential geometry related to the Yang–Baxter equation”, Zap. Nauchn. Sem. POMI, 199 (1992),  51–70  mathnet  mathscinet  zmath; J. Math. Sci., 77:2 (1995), 3051–3062 3
1990
13. D. I. Gurevich, “Algebraic aspects of the quantum Yang–Baxter equation”, Algebra i Analiz, 2:4 (1990),  119–148  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 801–828 21
1989
14. D. I. Gurevich, “Poisson brackets associated with the classical Yang–Baxter equation”, Funktsional. Anal. i Prilozhen., 23:1 (1989),  68–69  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:1 (1989), 57–59  isi 12
1988
15. D. I. Gurevich, “Hecke symmetries and quantum determinants”, Dokl. Akad. Nauk SSSR, 303:3 (1988),  542–546  mathnet  mathscinet  zmath; Dokl. Math., 38:3 (1989), 555–559 1
1987
16. D. I. Gurevich, “Trace and determinant in algebras associated with the Yang–Baxter equation”, Funktsional. Anal. i Prilozhen., 21:3 (1987),  79–80  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:3 (1987), 239–240  isi
1986
17. D. I. Gurevich, “The Yang–Baxter equation and the generalization of formal Lie theory”, Dokl. Akad. Nauk SSSR, 288:4 (1986),  797–801  mathnet  mathscinet  zmath 6
18. D. I. Gurevich, “Elements of formal Lie theory and the Poincaré–Birkhoff–Witt theorem for generalized shift operators”, Funktsional. Anal. i Prilozhen., 20:4 (1986),  72–73  mathnet  mathscinet  zmath; Funct. Anal. Appl., 20:4 (1986), 315–317  isi 1
1984
19. D. I. Gurevich, “On many-valued Lie groups”, Uspekhi Mat. Nauk, 39:6(240) (1984),  195–196  mathnet  mathscinet  zmath; Russian Math. Surveys, 39:6 (1984), 213–214  isi 1
1979
20. D. I. Gurevich, “Generalized displacement operators with a right infinitesimal Sturm–Liouville operator”, Mat. Zametki, 25:3 (1979),  393–408  mathnet  mathscinet  zmath; Math. Notes, 25:3 (1979), 208–215 2
1975
21. D. I. Gurevich, “Counterexamples to a problem of L. Schwartz”, Funktsional. Anal. i Prilozhen., 9:2 (1975),  29–35  mathnet  mathscinet  zmath; Funct. Anal. Appl., 9:2 (1975), 116–120 42
1974
22. D. I. Gurevich, “Closed ideals with the nulldimensional root set in certain rings of holomorphic functions”, Zap. Nauchn. Sem. LOMI, 47 (1974),  55–66  mathnet  mathscinet  zmath 1
1972
23. D. I. Gurevich, “Generalized bases in certain rings of holomorphic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 36:3 (1972),  568–582  mathnet  mathscinet  zmath; Math. USSR-Izv., 6:3 (1972), 564–578 1
1971
24. D. I. Gurevich, “On a problem of L. Schwartz”, Funktsional. Anal. i Prilozhen., 5:1 (1971),  76–77  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:1 (1971), 63–64 2

Presentations in Math-Net.Ru
1. Новые приложения алгебры отражений
D. I. Gurevich
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
September 20, 2023 13:00
2. New applications of the Reflection Equation Algebras
D. I. Gurevich
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
October 5, 2022 13:00   
3. New applications of the Reflection Equation Algebras
D. I. Gurevich
St. Petersburg Seminar on Representation Theory and Dynamical Systems
September 28, 2022 16:00
4. q-cut-and-join operators related to Reflection Equation algebras
D. I. Gurevich
International Conference «Quantum Integrability and Geometry» Dedicated to 60th Anniversaries of N. A. Slavnov and L. O. Chekhov
June 4, 2022 11:40   
5. Quantum Matrix Algebras and their applications
D. I. Gurevich
Cohomological geometry of differential equations
March 30, 2022 19:20   
6. From reflection equation algebra to matrix models
D. I. Gurevich
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
May 19, 2021 14:00   
7. Квантовые матричные алгебры: обзор
D. I. Gurevich
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
July 31, 2019 14:00
8. Generalized Yangians and their Bethe subalgebras
D. Gurevich
International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 11:40   
9. Algebras with quantum traces and Quantum double
D. I. Gurevich
Seminar of the Department of Theoretical Physics, Steklov Mathematical Institute of RAS
December 5, 2018 14:00
10. Quantum matrix algebras
Dmitry Gurevich
Lie groups and invariant theory
September 12, 2018 16:45
11. Quantum matrix algebras and their applications
D. I. Gurevich
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
April 25, 2018 18:30
12. Квантования и квантовые алгебры
D. I. Gurevich
Globus Seminar
May 11, 2017 15:40   
13. Braided Geometry and its applications
D. I. Gurevich
Complex analysis and mathematical physics
September 30, 2013 16:00
14. From Braided Geometry to Integrable systems
D. I. Gurevich
Riemann surfaces, Lie algebras and mathematical physics
December 9, 2011 17:00
15. Braided Geometry and its applications
D. Gurevich
Lie groups and invariant theory
September 8, 2010

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