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Ogievetsky, Oleg V.

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Author ID: ogievetsky.oleg-v Recent zbMATH articles by "Ogievetsky, Oleg V."
Published as: Ogievetsky, O. V.; Ogievetsky, O.; Ogievetsky, Oleg; Ogievetskij, O.; Ogievetskij, O. V.; Ogievetsky, Oleg V.; Ogievetskiĭ, O. V.
Further Spellings: Ogievetskii, Oleg Viktorovich
External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru · dblp · IdRef · theses.fr
Documents Indexed: 68 Publications since 1981
2 Contributions as Editor

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 381 times in 247 Documents Cited by Year
\(q\)-deformed Poincaré algebra. Zbl 0849.17011
Ogievetskij, O.; Schmidke, W. B.; Wess, J.; Zumino, B.
63
1992
A new fusion procedure for the Brauer algebra and evaluation homomorphisms. Zbl 1276.20006
Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V.
26
2012
On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. Zbl 0929.17016
Isaev, A.; Ogievetsky, O.; Pyatov, P.
21
1999
Mickelsson algebras and Zhelobenko operators. Zbl 1236.16023
Khoroshkin, S.; Ogievetsky, O.
20
2008
Reality in the differential calculus on \(q\)-Euclidean spaces. Zbl 0765.17019
Ogievetskij, O.; Zumino, B.
18
1992
Harmonic space and quaternionic manifolds. Zbl 0791.53076
Galperin, A.; Ivanov, E.; Ogievetsky, O.
17
1994
Quantum matrices in two dimensions. Zbl 0754.17012
Ewen, H.; Ogievetskij, O.; Wess, J.
15
1991
On baxterized solutions of reflection equation and integrable chain models. Zbl 1116.82010
Isaev, A. P.; Ogievetsky, O. V.
15
2007
Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\). Zbl 0755.17012
Ogievetskij, O.
14
1992
Uses of quantum spaces. Zbl 1213.81140
Ogievetsky, O.
13
2002
Six generator \(q\)-deformed Lorentz algebra. Zbl 0745.16020
Ogievetskij, O.; Schmidke, W. B.; Wess, J.; Zumino, B.
12
1991
Generalized Cayley-Hamilton-Newton identities. Zbl 0948.81013
Isaev, A.; Ogievetsky, O.; Pyatov, P.
12
1998
Idempotents for Birman-Murakami-Wenzl algebras and reflection equation. Zbl 1343.17010
Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V.
12
2014
Hopf structures on the Borel subalgebra of \(sl(2)\). Zbl 0879.16027
Ogievetsky, O.
10
1994
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.
10
1999
\(R\)-matrices in rime. Zbl 1208.81118
Ogievetsky, Oleg; Popov, Todor
8
2010
Diagonal reduction algebras of \(\mathfrak{gl}\) type. Zbl 1271.17005
Ogievetsky, O. V.; Khoroshkin, S. M.
6
2010
Serre duality for projective supermanifolds. Zbl 0563.58007
Ogievetskij, O. V.; Penkov, I. B.
6
1984
Fusion procedure for Coxeter groups of type \(B\) and complex reflection groups \(G(m,1,n)\). Zbl 1331.20052
Ogievetsky, O. V.; Poulain d’Andecy, L.
5
2014
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
Holonomy groups, complex structures and \(D=4\) topological Yang-Mills theory. Zbl 0776.53019
Galperin, A.; Ogievetskij, O.
5
1991
Structure constants of diagonal reduction algebras of \(\mathfrak{gl}\) type. Zbl 1293.17014
Khoroshkin, Sergei; Ogievetsky, Oleg
5
2011
On representations of cyclotomic Hecke algebras. Zbl 1214.81114
Ogievetsky, O. V.; Poulain d’Andecy, L.
5
2011
Half-quantum linear algebra. Zbl 1297.81109
Isaev, A.; Ogievetsky, O.
4
2013
Relations between \(GL_{p,q}(2)\)’s. Zbl 0754.17014
Ogievetskij, O.; Wess, J.
4
1991
Rings of fractions of reduction algebras. Zbl 1328.17012
Khoroshkin, S.; Ogievetsky, O.
3
2014
Classical isomorphisms for quantum groups. Zbl 1020.17506
Jain, Vidyut; Ogievetsky, Oleg
3
1992
On \(R\)-matrix representations of Birman-Murakami-Wenzl algebras. Zbl 1181.17005
Isaev, A. P.; Ogievetskiĭ, O. V.; Pyatov, P. N.
3
2004
Fusion procedure for cyclotomic Hecke algebras. Zbl 1326.20006
Ogievetsky, Oleg V.; Poulain d’Andecy, Loïc
3
2014
Braids, shuffles and symmetrizers. Zbl 1176.81066
Isaev, A. P.; Ogievetsky, O. V.
3
2009
An inductive approach to representations of complex reflection groups \(G(m,1,n)\). Zbl 1284.20004
Ogievetsky, O. V.; Poulain d’Andecy, L.
3
2013
Diagonal reduction algebra and the reflection equation. Zbl 1428.17011
Khoroshkin, S.; Ogievetsky, O.
3
2017
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
BRST operator for quantum Lie algebras: explicit formula. Zbl 1080.17015
Isaev, A. P.; Ogievetsky, O.
2
2004
Braidings of tensor spaces. Zbl 1244.16029
Grapperon, Thomas; Ogievetsky, Oleg
2
2012
Induced representations and traces for chains of affine and cyclotomic Hecke algebras. Zbl 1327.20002
Ogievetsky, O. V.; Poulain d’Andecy, L.
2
2015
Rings of \(\mathbf h\)-deformed differential operators. Zbl 1382.16016
Ogievetsky, O. V.; Herlemont, B.
2
2017
Quantum matrix algebras of BMW type: structure of the characteristic subalgebra. Zbl 1462.81110
Ogievetsky, Oleg; Pyatov, Pavel
2
2021
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
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
Bernoulli numbers and a Schlömilch-Ramanujan formula. (Nombres de Bernoulli et une formule de Schlömilch–Ramanujan.) Zbl 1232.11030
Ogievetsky, O.; Schechtman, Vadim
1
2010
The relation between two types of characteristic equations for quantum matrices. Zbl 1108.17004
Ogievetsky, O.; Vahlas, A.
1
2003
\(q\)-multilinear algebra. Zbl 1006.17018
Isaev, A.; Ogievetsky, O.; Pyatov, P.
1
2000
Quantized Minkowski space. Zbl 0890.17019
Wess, Julius; Zumino, Bruno; Ogievetsky, Oleg; Schmidke, W. B.
1
1993
Cremmer-Gervais quantum Lie algebra. Zbl 1168.81351
Ogievetsky, Oleg; Popov, Todor
1
2009
Alternating subgroups of Coxeter groups and their spinor extensions. Zbl 1283.20047
Ogievetsky, Oleg V.; Poulain d’Andecy, L.
1
2013
Becchi-Rouet-Stora-Tyutin operators for \(W\) algebras. Zbl 1152.81486
Isaev, A. P.; Krivonos, S. O.; Ogievetsky, O. V.
1
2008
The six cylinders problem: \(\mathbb{D}_3\)-symmetry approach. Zbl 1458.05041
Ogievetsky, Oleg; Shlosman, Senya
1
2021
Differential calculus on \(\mathbf{h}\)-deformed spaces. Zbl 1388.16025
Herlemont, Basile; Ogievetsky, Oleg
1
2017
Critical configurations of solid bodies and the Morse theory of min functions. Zbl 1441.52017
Ogievetsky, O. V.; Shlosman, S. B.
1
2019
Quantum matrix algebras of BMW type: structure of the characteristic subalgebra. Zbl 1462.81110
Ogievetsky, Oleg; Pyatov, Pavel
2
2021
The six cylinders problem: \(\mathbb{D}_3\)-symmetry approach. Zbl 1458.05041
Ogievetsky, Oleg; Shlosman, Senya
1
2021
Critical configurations of solid bodies and the Morse theory of min functions. Zbl 1441.52017
Ogievetsky, O. V.; Shlosman, S. B.
1
2019
Diagonal reduction algebra and the reflection equation. Zbl 1428.17011
Khoroshkin, S.; Ogievetsky, O.
3
2017
Rings of \(\mathbf h\)-deformed differential operators. Zbl 1382.16016
Ogievetsky, O. V.; Herlemont, B.
2
2017
Differential calculus on \(\mathbf{h}\)-deformed spaces. Zbl 1388.16025
Herlemont, Basile; Ogievetsky, Oleg
1
2017
Induced representations and traces for chains of affine and cyclotomic Hecke algebras. Zbl 1327.20002
Ogievetsky, O. V.; Poulain d’Andecy, L.
2
2015
Idempotents for Birman-Murakami-Wenzl algebras and reflection equation. Zbl 1343.17010
Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V.
12
2014
Fusion procedure for Coxeter groups of type \(B\) and complex reflection groups \(G(m,1,n)\). Zbl 1331.20052
Ogievetsky, O. V.; Poulain d’Andecy, L.
5
2014
Rings of fractions of reduction algebras. Zbl 1328.17012
Khoroshkin, S.; Ogievetsky, O.
3
2014
Fusion procedure for cyclotomic Hecke algebras. Zbl 1326.20006
Ogievetsky, Oleg V.; Poulain d’Andecy, Loïc
3
2014
Half-quantum linear algebra. Zbl 1297.81109
Isaev, A.; Ogievetsky, O.
4
2013
An inductive approach to representations of complex reflection groups \(G(m,1,n)\). Zbl 1284.20004
Ogievetsky, O. V.; Poulain d’Andecy, L.
3
2013
Alternating subgroups of Coxeter groups and their spinor extensions. Zbl 1283.20047
Ogievetsky, Oleg V.; Poulain d’Andecy, L.
1
2013
A new fusion procedure for the Brauer algebra and evaluation homomorphisms. Zbl 1276.20006
Isaev, A. P.; Molev, A. I.; Ogievetsky, O. V.
26
2012
Braidings of tensor spaces. Zbl 1244.16029
Grapperon, Thomas; Ogievetsky, Oleg
2
2012
Structure constants of diagonal reduction algebras of \(\mathfrak{gl}\) type. Zbl 1293.17014
Khoroshkin, Sergei; Ogievetsky, Oleg
5
2011
On representations of cyclotomic Hecke algebras. Zbl 1214.81114
Ogievetsky, O. V.; Poulain d’Andecy, L.
5
2011
\(R\)-matrices in rime. Zbl 1208.81118
Ogievetsky, Oleg; Popov, Todor
8
2010
Diagonal reduction algebras of \(\mathfrak{gl}\) type. Zbl 1271.17005
Ogievetsky, O. V.; Khoroshkin, S. M.
6
2010
Bernoulli numbers and a Schlömilch-Ramanujan formula. (Nombres de Bernoulli et une formule de Schlömilch–Ramanujan.) Zbl 1232.11030
Ogievetsky, O.; Schechtman, Vadim
1
2010
Braids, shuffles and symmetrizers. Zbl 1176.81066
Isaev, A. P.; Ogievetsky, O. V.
3
2009
Cremmer-Gervais quantum Lie algebra. Zbl 1168.81351
Ogievetsky, Oleg; Popov, Todor
1
2009
Mickelsson algebras and Zhelobenko operators. Zbl 1236.16023
Khoroshkin, S.; Ogievetsky, O.
20
2008
Becchi-Rouet-Stora-Tyutin operators for \(W\) algebras. Zbl 1152.81486
Isaev, A. P.; Krivonos, S. O.; Ogievetsky, O. V.
1
2008
On baxterized solutions of reflection equation and integrable chain models. Zbl 1116.82010
Isaev, A. P.; Ogievetsky, O. V.
15
2007
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
BRST operator for quantum Lie algebras: explicit formula. Zbl 1080.17015
Isaev, A. P.; Ogievetsky, O.
2
2004
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
The relation between two types of characteristic equations for quantum matrices. Zbl 1108.17004
Ogievetsky, O.; Vahlas, A.
1
2003
Uses of quantum spaces. Zbl 1213.81140
Ogievetsky, O.
13
2002
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
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
\(q\)-multilinear algebra. Zbl 1006.17018
Isaev, A.; Ogievetsky, O.; Pyatov, P.
1
2000
On quantum matrix algebras satisfying the Cayley-Hamilton-Newton identities. Zbl 0929.17016
Isaev, A.; Ogievetsky, O.; Pyatov, P.
21
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.
10
1999
Generalized Cayley-Hamilton-Newton identities. Zbl 0948.81013
Isaev, A.; Ogievetsky, O.; Pyatov, P.
12
1998
Harmonic space and quaternionic manifolds. Zbl 0791.53076
Galperin, A.; Ivanov, E.; Ogievetsky, O.
17
1994
Hopf structures on the Borel subalgebra of \(sl(2)\). Zbl 0879.16027
Ogievetsky, O.
10
1994
Quantized Minkowski space. Zbl 0890.17019
Wess, Julius; Zumino, Bruno; Ogievetsky, Oleg; Schmidke, W. B.
1
1993
\(q\)-deformed Poincaré algebra. Zbl 0849.17011
Ogievetskij, O.; Schmidke, W. B.; Wess, J.; Zumino, B.
63
1992
Reality in the differential calculus on \(q\)-Euclidean spaces. Zbl 0765.17019
Ogievetskij, O.; Zumino, B.
18
1992
Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\). Zbl 0755.17012
Ogievetskij, O.
14
1992
Classical isomorphisms for quantum groups. Zbl 1020.17506
Jain, Vidyut; Ogievetsky, Oleg
3
1992
Quantum matrices in two dimensions. Zbl 0754.17012
Ewen, H.; Ogievetskij, O.; Wess, J.
15
1991
Six generator \(q\)-deformed Lorentz algebra. Zbl 0745.16020
Ogievetskij, O.; Schmidke, W. B.; Wess, J.; Zumino, B.
12
1991
Holonomy groups, complex structures and \(D=4\) topological Yang-Mills theory. Zbl 0776.53019
Galperin, A.; Ogievetskij, O.
5
1991
Relations between \(GL_{p,q}(2)\)’s. Zbl 0754.17014
Ogievetskij, O.; Wess, J.
4
1991
Serre duality for projective supermanifolds. Zbl 0563.58007
Ogievetskij, O. V.; Penkov, I. B.
6
1984
all top 5

Cited by 260 Authors

24 Ogievetsky, Oleg V.
16 Gurevich, Dmitrii
15 Saponov, Pavel A.
9 Fiore, Gaetano
9 Poulain D’Andecy, Loïc
7 Daszkiewicz, Marcin
6 Khoroshkin, Sergey M.
5 Ivanov, Evgeniĭ Alekseevich
5 Luo, Yan Feng
5 Mudrov, Andrey I.
5 Nazarov, Maxim Leonidovich
5 Pyatov, Pavel
5 Zhang, Yi
4 Madan, Dilip B.
4 Marrani, Alessio
4 Regelskis, Vidas
4 Wess, Julius
3 Antoniadis, Ignatios
3 Borowiec, Andrzej Zdzisław
3 Chaichian, Masud
3 Crampé, Nicolas
3 de Azcárraga, José A.
3 Devchand, Chandrashekar
3 Fioresi, Rita
3 Flores, Marcelo
3 Furlan, Paolo
3 Gao, Xing
3 Hadjiivanov, Ludmil K.
3 Hohenegger, Stefan
3 Hu, Naihong
3 Latini, Emanuele
3 Lukierski, Jerzy
3 Majid, Shahn
3 Meljanac, Daniel
3 Meljanac, Stjepan
3 Narain, Kumar S.
3 Pyatov, P. N.
3 Sokatchev, Emery
3 Spiro, Andrea F.
3 Wachter, Hartmut
3 Zumino, Bruno
2 Ashton, Thomas
2 Blohmann, Christian
2 Butter, Daniel
2 Cerchiai, Bianca Letizia
2 Chen, Dan
2 Chervov, Alexander Viktorovich
2 Coquereaux, Robert
2 Dëmichev, A. P.
2 Dobrev, Vladimir K.
2 Domokos, Mátyás
2 Engeldinger, Ralf A.
2 Ewen, Holger
2 Fakhri, Hossein
2 Falqui, Gregorio
2 Fedoruk, Sergey
2 Ferrara, Sergio
2 García, Ariel O.
2 Gerrard, Allan
2 Herlemont, Basile
2 Jing, Naihuan
2 Joseph, Anthony
2 Karakhanyan, David
2 Kempf, Achim
2 Kirillov, Anatol N.
2 Kirschner, Roland
2 Kulish, Petr Petrovich
2 Laheghi, Samaneh
2 Lavrov, Petr M.
2 Leclercq, R.
2 Madore, John
2 Mezincescu, Luca
2 Molev, Alexander I.
2 Pachol, Anna
2 Peng, Xiao-Song
2 Pillin, Mathias
2 Podleś, Piotr
2 Pontecorvo, Massimiliano
2 Rabin, Jeffrey M.
2 Ragoucy, Eric
2 Rubtsov, Vladimir Nikolaevich
2 Schirrmacher, Arne
2 Schmidke, William B.
2 Schmidt, Alexander
2 Silantyev, Alexey
2 Tolstoĭ, Valeriĭ Nikolaevich
2 Yakushin, I. V.
2 Zhang, Ruibin
1 Access, P. A. Saponov
1 Agostini, Alessandra
1 Akulov, V. P.
1 Alekseev, Anton Yu.
1 Amelino-Camelia, Giovanni
1 Arzano, Michele
1 Asorey, Manuel
1 Avan, Jean
1 Aziziheris, Kamal
1 Babichenko, Andrei
1 Bachmaier, Fabian
1 Bautista, Raymundo
...and 160 more Authors
all top 5

Cited in 61 Serials

44 Journal of Mathematical Physics
22 Letters in Mathematical Physics
20 Journal of Geometry and Physics
12 Communications in Mathematical Physics
12 Theoretical and Mathematical Physics
11 Nuclear Physics. B
10 Journal of High Energy Physics
7 Modern Physics Letters A
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Algebra
6 Algebras and Representation Theory
5 International Journal of Modern Physics A
5 Communications in Algebra
5 The European Physical Journal C. Particles and Fields
4 Reviews in Mathematical Physics
4 Transformation Groups
4 International Journal of Geometric Methods in Modern Physics
3 International Journal of Theoretical Physics
3 Advances in Mathematics
3 Journal of Pure and Applied Algebra
3 St. Petersburg Mathematical Journal
3 Annals of Finance
2 Reports on Mathematical Physics
2 Fortschritte der Physik
2 Duke Mathematical Journal
2 Advances in Applied Mathematics
2 Acta Applicandae Mathematicae
2 Journal of Algebraic Combinatorics
2 Journal of Statistical Mechanics: Theory and Experiment
2 Journal of Noncommutative Geometry
1 International Journal of Modern Physics B
1 Israel Journal of Mathematics
1 Physics Letters. B
1 Chaos, Solitons and Fractals
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Colloquium Mathematicum
1 Functional Analysis and its Applications
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Pacific Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Transactions of the American Mathematical Society
1 Annals of Global Analysis and Geometry
1 Discrete & Computational Geometry
1 Journal of Knot Theory and its Ramifications
1 Journal of Mathematical Sciences (New York)
1 Advances in Applied Clifford Algebras
1 Finance and Stochastics
1 Mathematical Methods of Operations Research
1 Journal of the European Mathematical Society (JEMS)
1 Annales Henri Poincaré
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematics and Financial Economics
1 Journal of Physics A: Mathematical and Theoretical
1 Advances in Mathematical Physics
1 Communications in Mathematics
1 Communications in Mathematics and Statistics

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