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Author ID: natale.sonia Recent zbMATH articles by "Natale, Sonia"
Published as: Natale, Sonia; Natale, S.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 50 Publications since 1997, including 1 Book
1 Contribution as Editor · 1 Further Contribution
Reviewing Activity: 245 Reviews
Co-Authors: 23 Co-Authors with 27 Joint Publications
289 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 400 times in 208 Documents Cited by Year
Exact sequences of tensor categories. Zbl 1250.18005
Bruguières, Alain; Natale, Sonia
34
2011
On group theoretical Hopf algebras and exact factorizations of finite groups. Zbl 1040.16027
Natale, Sonia
28
2003
On semisimple Hopf algebras of dimension \(pq^2\). Zbl 0942.16045
Natale, Sonia
27
1999
Semisolvability of semisimple Hopf algebras of low dimension. Zbl 1185.16033
Natale, Sonia
25
2007
Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014
Burciu, Sebastian; Natale, Sonia
19
2013
Simple Hopf algebras and deformations of finite groups. Zbl 1160.16020
Galindo, César; Natale, Sonia
16
2007
Hopf algebras of dimension 12. Zbl 1020.16030
Natale, Sonia
15
2002
Hopf algebra deformations of binary polyhedral groups. Zbl 1238.16024
Bichon, Julien; Natale, Sonia
15
2011
Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026
Andruskiewitsch, Nicolás; Natale, Sonia
14
2001
On semisimple Hopf algebras of dimension \(pq^r\). Zbl 1053.16030
Natale, Sonia
14
2004
Hopf algebra extensions of group algebras and Tambara-Yamagami categories. Zbl 1228.16033
Natale, Sonia
14
2010
Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005
Natale, Sonia
13
2013
Classification of integral modular categories of Frobenius-Perron dimension \(pq^4\) and \(p^2q^2\). Zbl 1342.18013
Bruillard, Paul; Galindo, César; Hong, Seung-Moon; Kashina, Yevgenia; Naidu, Deepak; Natale, Sonia; Plavnik, Julia Yael; Rowell, Eric C.
11
2014
On semisimple Hopf algebras of dimension \(pq^2\). II. Zbl 1013.16025
Natale, Sonia
10
2001
Frobenius-Schur indicators for a class of fusion categories. Zbl 1108.16035
Natale, Sonia
10
2005
On fusion categories with few irreducible degrees. Zbl 1272.16032
Natale, Sonia; Plavnik, Julia Yael
10
2012
Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009
Bruguières, Alain; Natale, Sonia
9
2014
Double categories and quantum groupoids. Zbl 1092.16021
Andruskiewitsch, Nicolás; Natale, Sonia
8
2005
Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010
Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro
8
2015
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
8
2014
Examples of self-dual Hopf algebras. Zbl 0934.16033
Andruskiewitsch, Nicolás; Natale, Sonia
7
1999
Tensor categories attached to double groupoids. Zbl 1099.16016
Andruskiewitsch, Nicolás; Natale, Sonia
7
2006
Lectures on Hopf algebras. Notes by Sonia Natale. Zbl 0935.16030
Schneider, Hans-Jürgen
6
1995
Solvability of a class of braided fusion categories. Zbl 1309.18006
Natale, Sonia; Plavnik, Julia Yael
6
2014
On the equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011
Natale, Sonia
6
2017
The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008
Natale, Sonia
6
2018
Harmonic analysis on semisimple Hopf algebras. Zbl 1011.16028
Andruskiewitsch, N.; Natale, S.
5
2001
On quasitriangular structures in Hopf algebras arising from exact group factorizations. Zbl 1255.16036
Natale, Sonia
5
2011
Braided Hopf algebras arising from matched pairs of groups. Zbl 1024.16018
Andruskiewitsch, Nicolás; Natale, Sonia
4
2003
Module categories over equivariantized tensor categories. Zbl 1387.18014
Mombelli, Martín; Natale, Sonia
4
2017
Semisimple Hopf algebras of dimension 60. Zbl 1222.16022
Natale, Sonia
4
2010
\(R\)-matrices and Hopf algebra quotients. Zbl 1113.16043
Natale, Sonia
4
2006
Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026
Natale, Sonia
3
2015
Normal Hopf subalgebras in cocycle deformations of finite groups. Zbl 1178.16032
Galindo, César; Natale, Sonia
3
2008
On the exponent of tensor categories coming from finite groups. Zbl 1152.16029
Natale, Sonia
3
2007
Semisimple Hopf algebras and their representations. Zbl 1278.16033
Natale, Sonia
3
2011
Finite quantum groups and quantum permutation groups. Zbl 1271.16031
Banica, Teodor; Bichon, Julien; Natale, Sonia
3
2012
Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category. Zbl 1372.18008
Natale, Sonia; Pacheco-Rodríguez, Edwin
2
2016
On fusion rules and solvability of a fusion category. Zbl 1368.18004
Escañuela González, Melisa; Natale, Sonia
2
2017
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension \(p^{3}\) and \(pq^{2}\). Zbl 1409.16027
Mejía Castaño, Adriana; Montgomery, Susan; Natale, Sonia; Vega, Maria D.; Walton, Chelsea
2
2018
A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Zbl 1338.18032
Natale, Sonia
1
2016
A class of prime fusion categories of dimension \(2^N\). Zbl 1466.18012
Dong, Jingcheng; Natale, Sonia; Sun, Hua
1
2021
Plancherel identity for semisimple Hopf algebras. Zbl 0887.16025
Andruskiewitsch, Nicolás; Natale, Sonia
1
1997
On semisimple Hopf algebras of low dimension. Zbl 1060.16040
Natale, Sonia
1
2003
Crossed actions of matched pairs of groups on tensor categories. Zbl 1354.18007
Natale, Sonia
1
2016
On the classification of almost square-free modular categories. Zbl 1411.18010
Dong, Jingcheng; Natale, Sonia
1
2018
On the classification of fusion categories. Zbl 1441.18021
Natale, Sonia
1
2018
A class of prime fusion categories of dimension \(2^N\). Zbl 1466.18012
Dong, Jingcheng; Natale, Sonia; Sun, Hua
1
2021
The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008
Natale, Sonia
6
2018
Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension \(p^{3}\) and \(pq^{2}\). Zbl 1409.16027
Mejía Castaño, Adriana; Montgomery, Susan; Natale, Sonia; Vega, Maria D.; Walton, Chelsea
2
2018
On the classification of almost square-free modular categories. Zbl 1411.18010
Dong, Jingcheng; Natale, Sonia
1
2018
On the classification of fusion categories. Zbl 1441.18021
Natale, Sonia
1
2018
On the equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011
Natale, Sonia
6
2017
Module categories over equivariantized tensor categories. Zbl 1387.18014
Mombelli, Martín; Natale, Sonia
4
2017
On fusion rules and solvability of a fusion category. Zbl 1368.18004
Escañuela González, Melisa; Natale, Sonia
2
2017
Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category. Zbl 1372.18008
Natale, Sonia; Pacheco-Rodríguez, Edwin
2
2016
A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Zbl 1338.18032
Natale, Sonia
1
2016
Crossed actions of matched pairs of groups on tensor categories. Zbl 1354.18007
Natale, Sonia
1
2016
Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010
Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro
8
2015
Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026
Natale, Sonia
3
2015
Classification of integral modular categories of Frobenius-Perron dimension \(pq^4\) and \(p^2q^2\). Zbl 1342.18013
Bruillard, Paul; Galindo, César; Hong, Seung-Moon; Kashina, Yevgenia; Naidu, Deepak; Natale, Sonia; Plavnik, Julia Yael; Rowell, Eric C.
11
2014
Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009
Bruguières, Alain; Natale, Sonia
9
2014
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
8
2014
Solvability of a class of braided fusion categories. Zbl 1309.18006
Natale, Sonia; Plavnik, Julia Yael
6
2014
Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014
Burciu, Sebastian; Natale, Sonia
19
2013
Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005
Natale, Sonia
13
2013
On fusion categories with few irreducible degrees. Zbl 1272.16032
Natale, Sonia; Plavnik, Julia Yael
10
2012
Finite quantum groups and quantum permutation groups. Zbl 1271.16031
Banica, Teodor; Bichon, Julien; Natale, Sonia
3
2012
Exact sequences of tensor categories. Zbl 1250.18005
Bruguières, Alain; Natale, Sonia
34
2011
Hopf algebra deformations of binary polyhedral groups. Zbl 1238.16024
Bichon, Julien; Natale, Sonia
15
2011
On quasitriangular structures in Hopf algebras arising from exact group factorizations. Zbl 1255.16036
Natale, Sonia
5
2011
Semisimple Hopf algebras and their representations. Zbl 1278.16033
Natale, Sonia
3
2011
Hopf algebra extensions of group algebras and Tambara-Yamagami categories. Zbl 1228.16033
Natale, Sonia
14
2010
Semisimple Hopf algebras of dimension 60. Zbl 1222.16022
Natale, Sonia
4
2010
Normal Hopf subalgebras in cocycle deformations of finite groups. Zbl 1178.16032
Galindo, César; Natale, Sonia
3
2008
Semisolvability of semisimple Hopf algebras of low dimension. Zbl 1185.16033
Natale, Sonia
25
2007
Simple Hopf algebras and deformations of finite groups. Zbl 1160.16020
Galindo, César; Natale, Sonia
16
2007
On the exponent of tensor categories coming from finite groups. Zbl 1152.16029
Natale, Sonia
3
2007
Tensor categories attached to double groupoids. Zbl 1099.16016
Andruskiewitsch, Nicolás; Natale, Sonia
7
2006
\(R\)-matrices and Hopf algebra quotients. Zbl 1113.16043
Natale, Sonia
4
2006
Frobenius-Schur indicators for a class of fusion categories. Zbl 1108.16035
Natale, Sonia
10
2005
Double categories and quantum groupoids. Zbl 1092.16021
Andruskiewitsch, Nicolás; Natale, Sonia
8
2005
On semisimple Hopf algebras of dimension \(pq^r\). Zbl 1053.16030
Natale, Sonia
14
2004
On group theoretical Hopf algebras and exact factorizations of finite groups. Zbl 1040.16027
Natale, Sonia
28
2003
Braided Hopf algebras arising from matched pairs of groups. Zbl 1024.16018
Andruskiewitsch, Nicolás; Natale, Sonia
4
2003
On semisimple Hopf algebras of low dimension. Zbl 1060.16040
Natale, Sonia
1
2003
Hopf algebras of dimension 12. Zbl 1020.16030
Natale, Sonia
15
2002
Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026
Andruskiewitsch, Nicolás; Natale, Sonia
14
2001
On semisimple Hopf algebras of dimension \(pq^2\). II. Zbl 1013.16025
Natale, Sonia
10
2001
Harmonic analysis on semisimple Hopf algebras. Zbl 1011.16028
Andruskiewitsch, N.; Natale, S.
5
2001
On semisimple Hopf algebras of dimension \(pq^2\). Zbl 0942.16045
Natale, Sonia
27
1999
Examples of self-dual Hopf algebras. Zbl 0934.16033
Andruskiewitsch, Nicolás; Natale, Sonia
7
1999
Plancherel identity for semisimple Hopf algebras. Zbl 0887.16025
Andruskiewitsch, Nicolás; Natale, Sonia
1
1997
Lectures on Hopf algebras. Notes by Sonia Natale. Zbl 0935.16030
Schneider, Hans-Jürgen
6
1995
all top 5

Cited by 168 Authors

27 Natale, Sonia
18 Burciu, Sebastian M.
17 Dong, Jingcheng
11 Galindo Martínez, César Neyit
11 Rowell, Eric C.
9 Ng, Siu-Hung
9 Plavnik, Julia Yael
7 Andruskiewitsch, Nicolás
7 Wang, Zhenghan
6 Bruillard, Paul
6 Nikshych, Dmitri
5 Cohen, Miriam
5 Dai, Li
5 García, Gastón Andrés
5 Gelaki, Shlomo
5 Montgomery, Susan
5 Shimizu, Kenichi
5 Westreich, Sara
4 Angiono, Iván Ezequiel
4 Bichon, Julien
4 Jones, Corey
4 Kirkman, Ellen E.
4 Mombelli, Martín
4 Yu, Zhiqiang
3 Abella, Andres
3 Artamonov, Vyacheslav Aleksandrovich
3 Beattie, Margaret
3 Bruguières, Alain
3 Etingof, Pavel Il’ich
3 Gustafson, Paul P.
3 Kashina, Yevgenia
3 Keilberg, Marc
3 Li, Libin
3 Meir, Ehud
3 Naidu, Deepak
3 Schauenburg, Peter
3 Vallin, Jean-Michel
3 Walton, Chelsea
3 Wang, Zhihua
2 Ardizzoni, Alessandro
2 Banica, Teodor
2 Bontea, Costel-Gabriel
2 Chan, Kenneth S.
2 Chirvăsitu, Alexandru
2 Cui, Shawn Xingshan
2 Edie-Michell, Cain
2 Fukuda, Daijiro
2 García Iglesias, Agustín
2 Goff, Christopher D.
2 Liu, Gongxiang
2 Mason, Geoffrey
2 Masuoka, Akira
2 Mejía Castaño, Adriana
2 Neshveyev, Sergey V.
2 Penneys, David
2 Schweigert, Christoph
2 Sun, Hua
2 Vay, Cristian
2 Wang, Dingguo
2 Xiong, Rongchuan
2 Zhang, James J.
1 Agore, Ana-Loredana
1 Ahmed, Munir
1 Aldenhoven, Noud
1 Bagio, Dirceu
1 Baumann, Pierre
1 Bernaschini, Eugenia
1 Bischoff, Marcel
1 Borges, Inês
1 Brown, Ronald
1 Castaño Iglesias, Florencio
1 Cegarra, Antonio Martínez
1 Chen, Quanguo
1 Cheng, Yilin
1 Coquereaux, Robert
1 Cuadra, Juan
1 Dăscălescu, Sorin
1 Decoppet, Thibault D.
1 Delaney, Colleen
1 Elduque, Alberto
1 Escañuela Gonzalez, Melisa G.
1 Escobar-Velásquez, Nicolás
1 Fan, Zhongping
1 Fernández Vilaboa, José Manuel
1 Ferraro, Luigi
1 Ferrer Santos, Walter Ricardo
1 Freitas, Daiane
1 Ghobadi, Aryan
1 González Rodríguez, Ramón
1 Green, Jason R.
1 Guralnick, Robert Michael
1 Gutierrez, Javier Armando
1 Hardiman, Leonard
1 Heredia, Benjamín A.
1 Hesse, Jan
1 Hoche, Souleiman Omar
1 Hu, Jun
1 Jedwab, Andrea
1 Johnson-Freyd, Theo
1 Kadison, Lars
...and 68 more Authors
all top 5

Cited in 62 Serials

33 Journal of Algebra
20 Communications in Algebra
14 Algebras and Representation Theory
13 Journal of Algebra and its Applications
12 Journal of Pure and Applied Algebra
9 Communications in Mathematical Physics
9 Advances in Mathematics
5 Proceedings of the American Mathematical Society
4 Journal of Mathematical Physics
4 Mathematische Zeitschrift
4 Transactions of the American Mathematical Society
3 Israel Journal of Mathematics
3 Monatshefte für Mathematik
3 Applied Categorical Structures
3 Selecta Mathematica. New Series
3 Theory and Applications of Categories
3 São Paulo Journal of Mathematical Sciences
2 Manuscripta Mathematica
2 International Journal of Mathematics
2 Expositiones Mathematicae
2 St. Petersburg Mathematical Journal
2 Central European Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Science China. Mathematics
1 Bulletin of the Australian Mathematical Society
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Journal of Geometry and Physics
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Pacific Journal of Mathematics
1 Rendiconti del Seminario Matematico della Università di Padova
1 Tôhoku Mathematical Journal. Second Series
1 Acta Applicandae Mathematicae
1 Bulletin of the Iranian Mathematical Society
1 Journal of the American Mathematical Society
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Applied Mathematics. Series B (English Edition)
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Annales Mathématiques Blaise Pascal
1 The New York Journal of Mathematics
1 Transformation Groups
1 The Ramanujan Journal
1 Journal of Group Theory
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Acta Mathematica Sinica. English Series
1 Algebraic & Geometric Topology
1 Quantum Information Processing
1 Chebyshevskiĭ Sbornik
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Journal of Noncommutative Geometry
1 Algebra & Number Theory
1 Advances in Mathematical Physics
1 Arabian Journal of Mathematics
1 Peking Mathematical Journal

Citations by Year

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