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Natale, Sonia

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Author ID: natale.sonia Recent zbMATH articles by "Natale, Sonia"
Published as: Natale, S.; Natale, Sonia
External Links: MGP · Wikidata
Documents Indexed: 50 Publications since 1997, including 2 Books
Reviewing Activity: 228 Reviews

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 374 times in 190 Documents Cited by Year
Exact sequences of tensor categories. Zbl 1250.18005
Bruguières, Alain; Natale, Sonia
33
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
24
2007
Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014
Burciu, Sebastian; Natale, Sonia
18
2013
Simple Hopf algebras and deformations of finite groups. Zbl 1160.16020
Galindo, César; Natale, Sonia
16
2007
Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026
Andruskiewitsch, Nicolás; Natale, Sonia
15
2001
Hopf algebra deformations of binary polyhedral groups. Zbl 1238.16024
Bichon, Julien; Natale, Sonia
14
2011
Hopf algebra extensions of group algebras and Tambara-Yamagami categories. Zbl 1228.16033
Natale, Sonia
14
2010
On semisimple Hopf algebras of dimension \(pq^r\). Zbl 1053.16030
Natale, Sonia
14
2004
Hopf algebras of dimension 12. Zbl 1020.16030
Natale, Sonia
14
2002
Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005
Natale, Sonia
11
2013
On semisimple Hopf algebras of dimension \(pq^2\). II. Zbl 1013.16025
Natale, Sonia
11
2001
On fusion categories with few irreducible degrees. Zbl 1272.16032
Natale, Sonia; Plavnik, Julia Yael
10
2012
Frobenius-Schur indicators for a class of fusion categories. Zbl 1108.16035
Natale, Sonia
10
2005
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
8
2014
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.
8
2014
Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009
Bruguières, Alain; Natale, Sonia
8
2014
Double categories and quantum groupoids. Zbl 1092.16021
Andruskiewitsch, Nicolás; Natale, Sonia
8
2005
Examples of self-dual Hopf algebras. Zbl 0934.16033
Andruskiewitsch, Nicolás; Natale, Sonia
8
1999
Tensor categories attached to double groupoids. Zbl 1099.16016
Andruskiewitsch, Nicolás; Natale, Sonia
7
2006
Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010
Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro
6
2015
On the equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011
Natale, Sonia
5
2017
Solvability of a class of braided fusion categories. Zbl 1309.18006
Natale, Sonia; Plavnik, Julia Yael
5
2014
Harmonic analysis on semisimple Hopf algebras. Zbl 1011.16028
Andruskiewitsch, N.; Natale, S.
5
2001
The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008
Natale, Sonia
4
2018
On quasitriangular structures in Hopf algebras arising from exact group factorizations. Zbl 1255.16036
Natale, Sonia
4
2011
Semisimple Hopf algebras of dimension 60. Zbl 1222.16022
Natale, Sonia
4
2010
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
3
2017
On fusion rules and solvability of a fusion category. Zbl 1368.18004
Escañuela González, Melisa; Natale, Sonia
3
2017
Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026
Natale, Sonia
3
2015
Semisimple Hopf algebras and their representations. Zbl 1278.16033
Natale, Sonia
3
2011
On the exponent of tensor categories coming from finite groups. Zbl 1152.16029
Natale, Sonia
3
2007
\(R\)-matrices and Hopf algebra quotients. Zbl 1113.16043
Natale, Sonia
3
2006
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
Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category. Zbl 1372.18008
Natale, Sonia; Pacheco-Rodríguez, Edwin
2
2016
Normal Hopf subalgebras in cocycle deformations of finite groups. Zbl 1178.16032
Galindo, César; Natale, Sonia
2
2008
On semisimple Hopf algebras of low dimension. Zbl 1060.16040
Natale, Sonia
2
2003
Plancherel identity for semisimple Hopf algebras. Zbl 0887.16025
Andruskiewitsch, Nicolás; Natale, Sonia
2
1997
On the classification of almost square-free modular categories. Zbl 1411.18010
Dong, Jingcheng; Natale, Sonia
1
2018
A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Zbl 1338.18032
Natale, Sonia
1
2016
Finite quantum groups and quantum permutation groups. Zbl 1271.16031
Banica, Teodor; Bichon, Julien; Natale, Sonia
1
2012
The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008
Natale, Sonia
4
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 equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011
Natale, Sonia
5
2017
Module categories over equivariantized tensor categories. Zbl 1387.18014
Mombelli, Martín; Natale, Sonia
3
2017
On fusion rules and solvability of a fusion category. Zbl 1368.18004
Escañuela González, Melisa; Natale, Sonia
3
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
Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010
Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro
6
2015
Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026
Natale, Sonia
3
2015
On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010
Natale, Sonia
8
2014
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.
8
2014
Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009
Bruguières, Alain; Natale, Sonia
8
2014
Solvability of a class of braided fusion categories. Zbl 1309.18006
Natale, Sonia; Plavnik, Julia Yael
5
2014
Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014
Burciu, Sebastian; Natale, Sonia
18
2013
Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005
Natale, Sonia
11
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
1
2012
Exact sequences of tensor categories. Zbl 1250.18005
Bruguières, Alain; Natale, Sonia
33
2011
Hopf algebra deformations of binary polyhedral groups. Zbl 1238.16024
Bichon, Julien; Natale, Sonia
14
2011
On quasitriangular structures in Hopf algebras arising from exact group factorizations. Zbl 1255.16036
Natale, Sonia
4
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
2
2008
Semisolvability of semisimple Hopf algebras of low dimension. Zbl 1185.16033
Natale, Sonia
24
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
3
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
2
2003
Hopf algebras of dimension 12. Zbl 1020.16030
Natale, Sonia
14
2002
Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026
Andruskiewitsch, Nicolás; Natale, Sonia
15
2001
On semisimple Hopf algebras of dimension \(pq^2\). II. Zbl 1013.16025
Natale, Sonia
11
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
8
1999
Plancherel identity for semisimple Hopf algebras. Zbl 0887.16025
Andruskiewitsch, Nicolás; Natale, Sonia
2
1997
all top 5

Cited by 155 Authors

26 Natale, Sonia
18 Burciu, Sebastian M.
14 Dong, Jingcheng
10 Galindo Martínez, César Neyit
9 Rowell, Eric C.
8 Ng, Siu-Hung
7 Andruskiewitsch, Nicolás
7 Wang, Zhenghan
6 Plavnik, Julia Yael
5 Artamonov, Vyacheslav Aleksandrovich
5 Bruillard, Paul
5 Cohen, Miriam
5 Dai, Li
5 García, Gastón Andrés
5 Gelaki, Shlomo
5 Montgomery, Susan
5 Nikshych, Dmitri
5 Shimizu, Kenichi
5 Westreich, Sara
4 Angiono, Iván Ezequiel
4 Bruguières, Alain
4 Kirkman, Ellen E.
4 Mombelli, Martín
4 Yu, Zhiqiang
3 Abella, Andres
3 Beattie, Margaret
3 Bichon, Julien
3 Etingof, Pavel Il’ich
3 Jones, Corey
3 Kashina, Yevgenia
3 Keilberg, Marc
3 Meir, Ehud
3 Naidu, Deepak
3 Schauenburg, Peter
3 Vallin, Jean-Michel
3 Walton, Chelsea
2 Ardizzoni, Alessandro
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 Gustafson, Paul P.
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 Banica, Teodor
1 Baumann, Pierre
1 Bernaschini, Eugenia
1 Borges, Inês
1 Brown, Ronald
1 Castaño Iglesias, Florencio
1 Cegarra, Antonio Martínez
1 Chen, Quanguo
1 Cheng, Yi-Lin
1 Coquereaux, Robert
1 Cuadra, Juan
1 Dăscălescu, Sorin
1 Escañuela González, Melisa
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 Guralnick, Robert Michael
1 Gustafson, Paul
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 Kadison, Lars
1 Kasprzak, Paweł
1 Kharchenko, Vladislav K.
1 Kimball, Andrew
1 Klupsch, Matthias
1 Koelink, Erik
1 Lack, Stephen
1 Li, Fang
1 Li, Libin
...and 55 more Authors
all top 5

Cited in 58 Serials

31 Journal of Algebra
18 Communications in Algebra
14 Algebras and Representation Theory
10 Journal of Pure and Applied Algebra
10 Journal of Algebra and its Applications
9 Advances in Mathematics
7 Communications in Mathematical Physics
5 Proceedings of the American Mathematical Society
4 Journal of Mathematical Physics
4 Mathematische Zeitschrift
3 Israel Journal of Mathematics
3 Monatshefte für Mathematik
3 Transactions of the American Mathematical Society
3 Applied Categorical Structures
3 Theory and Applications of Categories
3 São Paulo Journal of Mathematical Sciences
2 Manuscripta Mathematica
2 International Journal of Mathematics
2 St. Petersburg Mathematical Journal
2 Selecta Mathematica. New Series
2 Central European Journal of Mathematics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Science China. Mathematics
1 Mathematical Notes
1 Journal of Geometry and Physics
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
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 Tohoku 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 Expositiones Mathematicae
1 Journal of Knot Theory and its Ramifications
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

Wikidata Timeline

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