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Davydov, Alekseĭ Aleksandrovich

Author ID: davydov.alexei-aleksandrovich Recent zbMATH articles by "Davydov, Alekseĭ Aleksandrovich"
Published as: Davydov, Alexei; Davydov, A. A.; Davydov, A.; Davydow, A.
Homepage: https://www.ohio.edu/cas/davydov
External Links: MGP · ResearchGate · Math-Net.Ru

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 459 times in 279 Documents Cited by Year
The Witt group of non-degenerate braided fusion categories. Zbl 1271.18008
Davydov, Alexei; Müger, Michael; Nikshych, Dmitri; Ostrik, Victor
111
2013
On the structure of the Witt group of braided fusion categories. Zbl 1345.18005
Davydov, Alexei; Nikshych, Dmitri; Ostrik, Victor
51
2013
The Picard crossed module of a braided tensor category. Zbl 1284.18015
Davydov, Alexei; Nikshych, Dmitri
41
2013
Field theories with defects and the centre functor. Zbl 1272.57023
Davydov, Alexei; Kong, Liang; Runkel, Ingo
28
2011
Galois algebras and monoidal functors between categories of representations of finite groups. Zbl 1026.19003
Davydov, A. A.
25
2001
Modular invariants for group-theoretical modular data. I. Zbl 1226.18008
Davydov, Alexei
22
2010
Centre of an algebra. Zbl 1227.18003
Davydov, Alexei
21
2010
Invertible defects and isomorphisms of rational CFTs. Zbl 1246.81319
Davydov, Alexei; Kong, Liang; Runkel, Ingo
16
2011
\(\mathbb Z/2\mathbb Z\)-extensions of Hopf algebra module categories by their base categories. Zbl 1328.18009
Davydov, Alexei; Runkel, Ingo
15
2013
Functoriality of the center of an algebra. Zbl 1345.18004
Davydov, Alexei; Kong, Liang; Runkel, Ingo
13
2015
Totally positive sequences and \(R\)-matrix quadratic algebras. Zbl 1026.16013
Davydov, A. A.
9
2000
Bogomolov multiplier, double class-preserving automorphisms, and modular invariants for orbifolds. Zbl 1297.81148
Davydov, Alexei
8
2014
Autoequivalences of tensor categories attached to quantum groups at roots of 1. Zbl 1451.18034
Davydov, Alexei; Etingof, Pavel; Nikshych, Dmitri
8
2018
Commutative algebras in Fibonacci categories. Zbl 1291.18010
Booker, Thomas; Davydov, Alexei
8
2012
Twisted automorphisms of group algebras. Zbl 1205.16027
Davydov, A.
8
2010
Twisted automorphisms of Hopf algebras. Zbl 1205.16026
Davydov, A.
7
2010
Braided Picard groups and graded extensions of braided tensor categories. Zbl 1477.18016
Davydov, Alexei; Nikshych, Dmitri
7
2021
Unphysical diagonal modular invariants. Zbl 1330.18011
Davydov, Alexei
6
2016
A braided monoidal category for symplectic fermions. Zbl 1297.81147
Davydov, A.; Runkel I.
6
2013
Holomorphic symplectic fermions. Zbl 1423.17025
Davydov, Alexei; Runkel, Ingo
6
2017
Monoidal categories. Zbl 0907.18002
Davydov, A. A.
6
1998
On Lagrangian algebras in group-theoretical braided fusion categories. Zbl 1368.18002
Davydov, Alexei; Simmons, Darren
5
2017
Finite groups with the same character tables, Drinfel’d algebras and Galois algebras. Zbl 0991.20006
Davydov, A. A.
4
2000
\(N=2\) minimal conformal field theories and matrix bifactorisations of \(x^d\). Zbl 1386.81132
Davydov, Alexei; Ros Camacho, Ana; Runkel, Ingo
4
2018
Third cohomology and fusion categories. Zbl 1391.18004
Davydov, Alexei; Simmons, Darren A.
4
2018
Normal form of slow motions of an equation of relaxation type and bundles of binomial surfaces. Zbl 0618.58011
Davydov, A. A.
3
1987
Factor-complex for Leibniz cohomology. Zbl 1005.17001
Dzhumadil’daev, A. S.; Davydov, A. A.
3
2001
Full centre of an \(H\)-module algebra. Zbl 1251.18005
Davydov, Alexei
3
2012
Pentagon equation and matrix bialgebras. Zbl 0998.16027
Davydov, A. A.
3
2001
Commutative algebras in Drinfeld categories of abelian Lie algebras. Zbl 1302.17011
Davydov, Alexei; Futorny, Vyacheslav
2
2012
Optimal states of distributed exploited populations with periodic impulse harvesting. Zbl 1482.35265
Davydov, A. A.; Melnik, D. A.
2
2021
Splitting of Gysin extensions. Zbl 0986.55014
Berrick, A. J.; Davydov, A. A.
2
2001
A categorical approach to classical and quantum Schur-Weyl duality. Zbl 1217.18009
Davydov, Alexei; Molev, Alexander
2
2011
Hopf algebra actions in tensor categories. Zbl 1475.18026
Bischoff, M.; Davydov, A.
2
2021
An alternative description of braided monoidal categories. Zbl 1330.18012
Davydov, Alexei; Runkel, Ingo
1
2015
Categories in algebra, geometry and mathematical physics. Conference and workshop in honor of Ross Street’s 60th birthday, Sydney and Canberra, Australia, July 11–16/July 18–21, 2005. Zbl 1116.18001
1
2007
Roots of unity as a Lie algebra. Zbl 1031.18005
Davydov, A.; Street, R.
1
2002
Twisted derivations of Hopf algebras. Zbl 1273.16030
Davydov, A.
1
2013
New algorithms for solving tropical linear systems. Zbl 1377.15015
Davydow, A.
1
2017
Deformation cohomology of Schur-Weyl categories. Free symmetric categories. Zbl 1507.18019
Davydov, Alexei; Elbehiry, Mohamed
1
2023
Deformation cohomology of Schur-Weyl categories. Free symmetric categories. Zbl 1507.18019
Davydov, Alexei; Elbehiry, Mohamed
1
2023
Braided Picard groups and graded extensions of braided tensor categories. Zbl 1477.18016
Davydov, Alexei; Nikshych, Dmitri
7
2021
Optimal states of distributed exploited populations with periodic impulse harvesting. Zbl 1482.35265
Davydov, A. A.; Melnik, D. A.
2
2021
Hopf algebra actions in tensor categories. Zbl 1475.18026
Bischoff, M.; Davydov, A.
2
2021
Autoequivalences of tensor categories attached to quantum groups at roots of 1. Zbl 1451.18034
Davydov, Alexei; Etingof, Pavel; Nikshych, Dmitri
8
2018
\(N=2\) minimal conformal field theories and matrix bifactorisations of \(x^d\). Zbl 1386.81132
Davydov, Alexei; Ros Camacho, Ana; Runkel, Ingo
4
2018
Third cohomology and fusion categories. Zbl 1391.18004
Davydov, Alexei; Simmons, Darren A.
4
2018
Holomorphic symplectic fermions. Zbl 1423.17025
Davydov, Alexei; Runkel, Ingo
6
2017
On Lagrangian algebras in group-theoretical braided fusion categories. Zbl 1368.18002
Davydov, Alexei; Simmons, Darren
5
2017
New algorithms for solving tropical linear systems. Zbl 1377.15015
Davydow, A.
1
2017
Unphysical diagonal modular invariants. Zbl 1330.18011
Davydov, Alexei
6
2016
Functoriality of the center of an algebra. Zbl 1345.18004
Davydov, Alexei; Kong, Liang; Runkel, Ingo
13
2015
An alternative description of braided monoidal categories. Zbl 1330.18012
Davydov, Alexei; Runkel, Ingo
1
2015
Bogomolov multiplier, double class-preserving automorphisms, and modular invariants for orbifolds. Zbl 1297.81148
Davydov, Alexei
8
2014
The Witt group of non-degenerate braided fusion categories. Zbl 1271.18008
Davydov, Alexei; Müger, Michael; Nikshych, Dmitri; Ostrik, Victor
111
2013
On the structure of the Witt group of braided fusion categories. Zbl 1345.18005
Davydov, Alexei; Nikshych, Dmitri; Ostrik, Victor
51
2013
The Picard crossed module of a braided tensor category. Zbl 1284.18015
Davydov, Alexei; Nikshych, Dmitri
41
2013
\(\mathbb Z/2\mathbb Z\)-extensions of Hopf algebra module categories by their base categories. Zbl 1328.18009
Davydov, Alexei; Runkel, Ingo
15
2013
A braided monoidal category for symplectic fermions. Zbl 1297.81147
Davydov, A.; Runkel I.
6
2013
Twisted derivations of Hopf algebras. Zbl 1273.16030
Davydov, A.
1
2013
Commutative algebras in Fibonacci categories. Zbl 1291.18010
Booker, Thomas; Davydov, Alexei
8
2012
Full centre of an \(H\)-module algebra. Zbl 1251.18005
Davydov, Alexei
3
2012
Commutative algebras in Drinfeld categories of abelian Lie algebras. Zbl 1302.17011
Davydov, Alexei; Futorny, Vyacheslav
2
2012
Field theories with defects and the centre functor. Zbl 1272.57023
Davydov, Alexei; Kong, Liang; Runkel, Ingo
28
2011
Invertible defects and isomorphisms of rational CFTs. Zbl 1246.81319
Davydov, Alexei; Kong, Liang; Runkel, Ingo
16
2011
A categorical approach to classical and quantum Schur-Weyl duality. Zbl 1217.18009
Davydov, Alexei; Molev, Alexander
2
2011
Modular invariants for group-theoretical modular data. I. Zbl 1226.18008
Davydov, Alexei
22
2010
Centre of an algebra. Zbl 1227.18003
Davydov, Alexei
21
2010
Twisted automorphisms of group algebras. Zbl 1205.16027
Davydov, A.
8
2010
Twisted automorphisms of Hopf algebras. Zbl 1205.16026
Davydov, A.
7
2010
Categories in algebra, geometry and mathematical physics. Conference and workshop in honor of Ross Street’s 60th birthday, Sydney and Canberra, Australia, July 11–16/July 18–21, 2005. Zbl 1116.18001
1
2007
Roots of unity as a Lie algebra. Zbl 1031.18005
Davydov, A.; Street, R.
1
2002
Galois algebras and monoidal functors between categories of representations of finite groups. Zbl 1026.19003
Davydov, A. A.
25
2001
Factor-complex for Leibniz cohomology. Zbl 1005.17001
Dzhumadil’daev, A. S.; Davydov, A. A.
3
2001
Pentagon equation and matrix bialgebras. Zbl 0998.16027
Davydov, A. A.
3
2001
Splitting of Gysin extensions. Zbl 0986.55014
Berrick, A. J.; Davydov, A. A.
2
2001
Totally positive sequences and \(R\)-matrix quadratic algebras. Zbl 1026.16013
Davydov, A. A.
9
2000
Finite groups with the same character tables, Drinfel’d algebras and Galois algebras. Zbl 0991.20006
Davydov, A. A.
4
2000
Monoidal categories. Zbl 0907.18002
Davydov, A. A.
6
1998
Normal form of slow motions of an equation of relaxation type and bundles of binomial surfaces. Zbl 0618.58011
Davydov, A. A.
3
1987
all top 5

Cited by 282 Authors

20 Runkel, Ingo
15 Davydov, Alekseĭ Aleksandrovich
15 Kong, Liang
15 Schweigert, Christoph
12 Fuchs, Jürgen
11 Galindo Martínez, César Neyit
11 Nikshych, Dmitri
11 Rowell, Eric C.
10 Zheng, Hao
9 Creutzig, Thomas
9 Plavnik, Julia Yael
9 Wang, Zhenghan
8 Carqueville, Nils
8 Gainutdinov, Azat M.
8 Gannon, Terry
7 Etingof, Pavel Il’ich
7 Schaumann, Gregor
6 Bischoff, Marcel
6 Ng, Siu-Hung
6 Ostrik, Victor Valentinovich
6 Schopieray, Andrew
5 Gelaki, Shlomo
5 Lin, Ying-Hsuan
5 Natale, Sonia
5 Snyder, Noah
5 Zhang, Qing
4 Bruillard, Paul
4 Edie-Michell, Cain
4 Femić, Bojana
4 Johnson-Freyd, Theo
4 Jones, Corey
4 Laugwitz, Robert
4 Negron, Cris
4 Szegedy, Lóránt
4 Wang, Yilong
4 Wen, Xiaogang
3 Camacho, Luisa Maria
3 Dong, Chongying
3 Evans, David E.
3 Gómez, José R.
3 Kanade, Shashank
3 Kawahigashi, Yasuyuki
3 Lentner, Simon D.
3 Mombelli, Martín
3 Neshveyev, Sergey V.
3 Omirov, Bakhrom A.
3 Priel, Jan
3 Ren, Li
3 Seifnashri, Sahand
3 Stigner, Carl
3 Walton, Chelsea
2 Andruskiewitsch, Nicolás
2 Banerjee, Abhishek
2 Bichon, Julien
2 Bontea, Costel-Gabriel
2 Brochier, Adrien
2 Buican, Matthew
2 Chang, Chi-Ming
2 Chirvăsitu, Alexandru
2 Cong, Iris
2 Decoppet, Thibault D.
2 Douglas, Christopher L.
2 Farsad, V.
2 Gaiotto, Davide
2 Grossman, Pinhas
2 Gurevich, Dmitrii
2 Gustafson, Paul P.
2 Haah, Jeongwan
2 Huang, Tzu-Chen
2 Inamura, Kansei
2 Izumi, Masaki
2 Jordan, David Andrew
2 Lan, Tian
2 Lin, Xingjun
2 Linshaw, Andrew Ross
2 Mejía Castaño, Adriana
2 Mulevičius, Vincentas
2 Murfet, Daniel
2 Naidu, Deepak
2 Penneys, David
2 Radhakrishnan, Rajath
2 Rehren, Karl-Henning
2 Ros Camacho, Ana
2 Ruan, Yuze
2 Safronov, Pavel
2 Saponov, Pavel A.
2 Schommer-Pries, Christopher J.
2 Shao, Shu-Heng
2 Shimizu, Kenichi
2 Tuset, Lars
2 Valentino, Alessandro
2 Woike, Lukas
2 Xu, Feng
2 Yamagami, Shigeru
2 Yu, Zhiqiang
2 Zhang, Yinhuo
2 Zhu, Haixing
1 Abdulwahid, Adnan H.
1 Adamović, Dražen
1 Ai, Chunrui
...and 182 more Authors
all top 5

Cited in 69 Serials

35 Communications in Mathematical Physics
26 Journal of Algebra
23 Advances in Mathematics
23 Journal of High Energy Physics
14 Journal of Pure and Applied Algebra
11 Journal of Mathematical Physics
11 Nuclear Physics. B
9 Selecta Mathematica. New Series
8 Communications in Algebra
8 Transactions of the American Mathematical Society
6 Letters in Mathematical Physics
6 International Journal of Mathematics
4 Applied Categorical Structures
4 Algebras and Representation Theory
3 Pacific Journal of Mathematics
3 Theory and Applications of Categories
3 Transformation Groups
3 Communications in Contemporary Mathematics
3 Journal of Algebra and its Applications
3 Journal of Noncommutative Geometry
3 Journal of Physics A: Mathematical and Theoretical
3 Quantum Topology
2 Reviews in Mathematical Physics
2 Compositio Mathematica
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Mathematische Zeitschrift
2 Memoirs of the American Mathematical Society
2 Proceedings of the American Mathematical Society
2 Proceedings of the London Mathematical Society. Third Series
2 Linear Algebra and its Applications
2 Algebraic & Geometric Topology
1 Discrete Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Canadian Mathematical Bulletin
1 Functional Analysis and its Applications
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Monatshefte für Mathematik
1 Siberian Mathematical Journal
1 Tôhoku Mathematical Journal. Second Series
1 Topology and its Applications
1 Advances in Applied Mathematics
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 IMRN. International Mathematics Research Notices
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Journal of Algebraic Combinatorics
1 St. Petersburg Mathematical Journal
1 Annales Mathématiques Blaise Pascal
1 European Mathematical Society Newsletter
1 Representation Theory
1 Geometry & Topology
1 New Journal of Physics
1 Annales Henri Poincaré
1 Oberwolfach Reports
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Kyoto Journal of Mathematics
1 Transactions of the American Mathematical Society. Series B
1 Categories and General Algebraic Structures with Applications
1 Tunisian Journal of Mathematics
1 Graduate Journal of Mathematics

Citations by Year