Edit Profile (opens in new tab) Natale, Sonia Co-Author Distance Author ID: natale.sonia Published as: Natale, Sonia; Natale, S. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 52 Publications since 1997, including 1 Book and 1 Additional arXiv Preprint 1 Contribution as Editor · 1 Further Contribution Reviewing Activity: 266 Reviews Co-Authors: 24 Co-Authors with 28 Joint Publications 387 Co-Co-Authors all top 5 Co-Authors 25 single-authored 10 Andruskiewitsch, Nicolás 3 Dong, Jingcheng 3 Galindo Martínez, César Neyit 3 Plavnik, Julia Yael 2 Bichon, Julien 2 Bruguières, Alain 1 Banica, Teodor 1 Bruillard, Paul 1 Burciu, Sebastian M. 1 Escañuela Gonzalez, Melisa G. 1 Hong, Seung-Moon 1 Kashina, Yevgenia 1 Mejía Castaño, Adriana 1 Mombelli, Juan Martín 1 Mombelli, Martín 1 Montgomery, Susan 1 Naidu, Deepak 1 Pacheco-Rodríguez, Edwin 1 Rowell, Eric C. 1 Schneider, Hans-Jürgen 1 Sun, Hua 1 Torrecillas Jover, Blas 1 Vega, Maria D. 1 Vendramin, Leandro 1 Walton, Chelsea all top 5 Serials 5 Algebras and Representation Theory 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 2 Communications in Algebra 2 Advances in Mathematics 2 IMRN. International Mathematics Research Notices 2 Mathematical Research Letters 2 Publicaciones Matemáticas del Uruguay 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Revista de la Unión Matemática Argentina 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 International Journal of Mathematics 1 Applied Categorical Structures 1 St. Petersburg Mathematical Journal 1 Journal of Mathematical Sciences. University of Tokyo 1 The New York Journal of Mathematics 1 Transformation Groups 1 Journal of Group Theory 1 AMA. Algebra Montpellier Announcements 1 Algebraic & Geometric Topology 1 Moscow Mathematical Journal 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Noncommutative Geometry 1 Algebra & Number Theory all top 5 Fields 48 Associative rings and algebras (16-XX) 32 Category theory; homological algebra (18-XX) 6 Nonassociative rings and algebras (17-XX) 6 Group theory and generalizations (20-XX) 2 Abstract harmonic analysis (43-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 478 times in 247 Documents Cited by ▼ Year ▼ Exact sequences of tensor categories. Zbl 1250.18005 Bruguières, Alain; Natale, Sonia 42 2011 On group theoretical Hopf algebras and exact factorizations of finite groups. Zbl 1040.16027 Natale, Sonia 32 2003 On semisimple Hopf algebras of dimension \(pq^2\). Zbl 0942.16045 Natale, Sonia 31 1999 Semisolvability of semisimple Hopf algebras of low dimension. Zbl 1185.16033 Natale, Sonia 26 2007 Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014 Burciu, Sebastian; Natale, Sonia 23 2013 Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026 Andruskiewitsch, Nicolás; Natale, Sonia 19 2001 Simple Hopf algebras and deformations of finite groups. Zbl 1160.16020 Galindo, César; Natale, Sonia 18 2007 Hopf algebra deformations of binary polyhedral groups. Zbl 1238.16024 Bichon, Julien; Natale, Sonia 15 2011 Hopf algebras of dimension 12. Zbl 1020.16030 Natale, Sonia 15 2002 Frobenius-Schur indicators for a class of fusion categories. Zbl 1108.16035 Natale, Sonia 15 2005 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 Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005 Natale, Sonia 14 2013 Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009 Bruguières, Alain; Natale, Sonia 14 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. 13 2014 On fusion categories with few irreducible degrees. Zbl 1272.16032 Natale, Sonia; Plavnik, Julia Yael 12 2012 The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008 Natale, Sonia 11 2018 On the equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011 Natale, Sonia 11 2017 On semisimple Hopf algebras of dimension \(pq^2\). II. Zbl 1013.16025 Natale, Sonia 10 2001 On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010 Natale, Sonia 10 2014 Lectures on Hopf algebras. Notes by Sonia Natale. Zbl 0935.16030 Schneider, Hans-Jürgen 9 1995 Double categories and quantum groupoids. Zbl 1092.16021 Andruskiewitsch, Nicolás; Natale, Sonia 9 2005 Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010 Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro 9 2015 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 Solvability of a class of braided fusion categories. Zbl 1309.18006 Natale, Sonia; Plavnik, Julia Yael 7 2014 Braided Hopf algebras arising from matched pairs of groups. Zbl 1024.16018 Andruskiewitsch, Nicolás; Natale, Sonia 7 2003 Module categories over equivariantized tensor categories. Zbl 1387.18014 Mombelli, Martín; Natale, Sonia 6 2017 Semisimple Hopf algebras of dimension 60. Zbl 1222.16022 Natale, Sonia 5 2010 On quasitriangular structures in Hopf algebras arising from exact group factorizations. Zbl 1255.16036 Natale, Sonia 5 2011 \(R\)-matrices and Hopf algebra quotients. Zbl 1113.16043 Natale, Sonia 5 2006 Harmonic analysis on semisimple Hopf algebras. Zbl 1011.16028 Andruskiewitsch, N.; Natale, S. 5 2001 Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026 Natale, Sonia 5 2015 Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category. Zbl 1372.18008 Natale, Sonia; Pacheco-Rodríguez, Edwin 5 2016 Finite quantum groups and quantum permutation groups. Zbl 1271.16031 Banica, Teodor; Bichon, Julien; Natale, Sonia 4 2012 On the classification of almost square-free modular categories. Zbl 1411.18010 Dong, Jingcheng; Natale, Sonia 4 2018 On the exponent of tensor categories coming from finite groups. Zbl 1152.16029 Natale, Sonia 3 2007 Normal Hopf subalgebras in cocycle deformations of finite groups. Zbl 1178.16032 Galindo, César; Natale, Sonia 3 2008 On fusion rules and solvability of a fusion category. Zbl 1368.18004 Escañuela González, Melisa; Natale, Sonia 3 2017 A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Zbl 1338.18032 Natale, Sonia 3 2016 A class of prime fusion categories of dimension \(2^N\). Zbl 1466.18012 Dong, Jingcheng; Natale, Sonia; Sun, Hua 3 2021 Semisimple Hopf algebras and their representations. Zbl 1278.16033 Natale, Sonia 3 2011 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 Plancherel identity for semisimple Hopf algebras. Zbl 0887.16025 Andruskiewitsch, Nicolás; Natale, Sonia 2 1997 Crossed actions of matched pairs of groups on tensor categories. Zbl 1354.18007 Natale, Sonia 2 2016 On the classification of fusion categories. Zbl 1441.18021 Natale, Sonia 2 2018 On semisimple Hopf algebras of low dimension. Zbl 1060.16040 Natale, Sonia 1 2003 Quasitriangular Hopf algebras of dimension \(pq\). Zbl 1042.16027 Natale, Sonia 1 2002 A class of prime fusion categories of dimension \(2^N\). Zbl 1466.18012 Dong, Jingcheng; Natale, Sonia; Sun, Hua 3 2021 The core of a weakly group-theoretical braided fusion category. Zbl 1391.18008 Natale, Sonia 11 2018 On the classification of almost square-free modular categories. Zbl 1411.18010 Dong, Jingcheng; 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 fusion categories. Zbl 1441.18021 Natale, Sonia 2 2018 On the equivalence of module categories over a group-theoretical fusion category. Zbl 1437.18011 Natale, Sonia 11 2017 Module categories over equivariantized tensor categories. Zbl 1387.18014 Mombelli, Martín; Natale, Sonia 6 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 5 2016 A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Zbl 1338.18032 Natale, Sonia 3 2016 Crossed actions of matched pairs of groups on tensor categories. Zbl 1354.18007 Natale, Sonia 2 2016 Frobenius property for fusion categories of small integral dimension. Zbl 1311.18010 Dong, Jingcheng; Natale, Sonia; Vendramin, Leandro 9 2015 Jordan-Hölder theorem for finite dimensional Hopf algebras. Zbl 1343.16026 Natale, Sonia 5 2015 Central exact sequences of tensor categories, equivariantization and applications. Zbl 1311.18009 Bruguières, Alain; Natale, Sonia 14 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. 13 2014 On weakly group-theoretical non-degenerate braided fusion categories. Zbl 1315.18010 Natale, Sonia 10 2014 Solvability of a class of braided fusion categories. Zbl 1309.18006 Natale, Sonia; Plavnik, Julia Yael 7 2014 Fusion rules of equivariantizations of fusion categories. Zbl 1284.18014 Burciu, Sebastian; Natale, Sonia 23 2013 Faithful simple objects, orders and gradings of fusion categories. Zbl 1279.18005 Natale, Sonia 14 2013 On fusion categories with few irreducible degrees. Zbl 1272.16032 Natale, Sonia; Plavnik, Julia Yael 12 2012 Finite quantum groups and quantum permutation groups. Zbl 1271.16031 Banica, Teodor; Bichon, Julien; Natale, Sonia 4 2012 Exact sequences of tensor categories. Zbl 1250.18005 Bruguières, Alain; Natale, Sonia 42 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 5 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 26 2007 Simple Hopf algebras and deformations of finite groups. Zbl 1160.16020 Galindo, César; Natale, Sonia 18 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 5 2006 Frobenius-Schur indicators for a class of fusion categories. Zbl 1108.16035 Natale, Sonia 15 2005 Double categories and quantum groupoids. Zbl 1092.16021 Andruskiewitsch, Nicolás; Natale, Sonia 9 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 32 2003 Braided Hopf algebras arising from matched pairs of groups. Zbl 1024.16018 Andruskiewitsch, Nicolás; Natale, Sonia 7 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 Quasitriangular Hopf algebras of dimension \(pq\). Zbl 1042.16027 Natale, Sonia 1 2002 Counting arguments for Hopf algebras of low dimension. Zbl 0998.16026 Andruskiewitsch, Nicolás; Natale, Sonia 19 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 31 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 Lectures on Hopf algebras. Notes by Sonia Natale. Zbl 0935.16030 Schneider, Hans-Jürgen 9 1995 all cited Publications top 5 cited Publications all top 5 Cited by 204 Authors 28 Natale, Sonia 18 Dong, Jingcheng 12 Galindo Martínez, César Neyit 12 Plavnik, Julia Yael 12 Rowell, Eric C. 9 Ng, Siu-Hung 8 Andruskiewitsch, Nicolás 7 Wang, Zhenghan 6 Angiono, Iván Ezequiel 6 Bruillard, Paul 6 Gelaki, Shlomo 6 Nikshych, Dmitri 6 Shimizu, Kenichi 5 Artamonov, Vyacheslav Aleksandrovich 5 Cohen, Miriam 5 Dai, Li 5 García, Gastón Andrés 5 Montgomery, Susan 5 Walton, Chelsea 5 Westreich, Sara 5 Zhang, Qing 4 Bichon, Julien 4 Burciu, Sebastian M. 4 Decoppet, Thibault D. 4 Jones, Corey 4 Kashina, Yevgenia 4 Kirkman, Ellen E. 4 Meir, Ehud 4 Mombelli, Martín 4 Xiong, Rongchuan 4 Yu, Zhiqiang 3 Abella, Andres 3 Beattie, Margaret 3 Bruguières, Alain 3 Etingof, Pavel Il’ich 3 Gustafson, Paul P. 3 Keilberg, Marc 3 Li, Libin 3 Liu, Gongxiang 3 Naidu, Deepak 3 Penneys, David 3 Sanmarco, Guillermo 3 Schauenburg, Peter 3 Vallin, Jean-Michel 3 Wang, Zhihua 2 Ardizzoni, Alessandro 2 Bagio, Dirceu 2 Banica, Teodor 2 Bontea, Costel-Gabriel 2 Campagnolo, Emiliano 2 Chan, Kenneth S. 2 Chirvăsitu, Alexandru 2 Cuadra, Juan 2 Cui, Shawn Xingshan 2 Delaney, Colleen 2 Edie-Michell, Cain 2 Fukuda, Daijiro 2 García Iglesias, Agustín 2 Ghobadi, Aryan 2 Goff, Christopher D. 2 González Rodríguez, Ramón 2 Liu, Zhengwei 2 Mason, Geoffrey 2 Masuoka, Akira 2 Mejía Castaño, Adriana 2 Morales, Yiby 2 Neshveyev, Sergey V. 2 Ostrik, Victor Valentinovich 2 Palcoux, Sebastien 2 Schopieray, Andrew 2 Schweigert, Christoph 2 Sun, Hua 2 Tucker, Henry 2 Vay, Cristian 2 Wang, Dingguo 2 Yadav, Harshit 2 Zhang, James J. 2 Zhou, Kun 1 Afzaly, Narjess 1 Agore, Ana-Loredana 1 Ahmed, Munir 1 Aldenhoven, Noud 1 Alonso Álvarez, José Nicanor 1 Basak, Tathagata 1 Baumann, Pierre 1 Bernaschini, Eugenia 1 Bischoff, Marcel 1 Borges, Inês 1 Brown, Ronald 1 Buican, Matthew 1 Castaño Iglesias, Florencio 1 Cegarra, Antonio Martínez 1 Chen, Gang 1 Chen, Quanguo 1 Cheng, Yilin 1 Coquereaux, Robert 1 Cowtan, Alexander 1 Czenky, Agustina 1 Dăscălescu, Sorin 1 Della Flora, Saradia ...and 104 more Authors all top 5 Cited in 73 Serials 36 Journal of Algebra 21 Communications in Algebra 16 Algebras and Representation Theory 15 Journal of Algebra and its Applications 13 Journal of Pure and Applied Algebra 11 Advances in Mathematics 10 Communications in Mathematical Physics 6 Proceedings of the American Mathematical Society 5 Journal of Mathematical Physics 5 Transactions of the American Mathematical Society 4 Mathematische Zeitschrift 4 Applied Categorical Structures 3 Israel Journal of Mathematics 3 Journal of the London Mathematical Society. Second Series 3 Manuscripta Mathematica 3 Monatshefte für Mathematik 3 International Journal of Mathematics 3 Selecta Mathematica. New Series 3 Theory and Applications of Categories 3 Algebra & Number Theory 3 São Paulo Journal of Mathematical Sciences 2 Rendiconti del Seminario Matematico della Università di Padova 2 Expositiones Mathematicae 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 St. Petersburg Mathematical Journal 2 Journal of High Energy Physics 2 Central European Journal of Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Noncommutative Geometry 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 Canadian Mathematical Bulletin 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 Kodai Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Acta Mathematica Hungarica 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 Journal of Algebraic Combinatorics 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 Journal of Mathematical Study 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 Complex Analysis and Operator Theory 1 Advances in Mathematical Physics 1 Kyoto Journal of Mathematics 1 Arabian Journal of Mathematics 1 Peking Mathematical Journal all top 5 Cited in 23 Fields 187 Associative rings and algebras (16-XX) 129 Category theory; homological algebra (18-XX) 31 Group theory and generalizations (20-XX) 20 Nonassociative rings and algebras (17-XX) 17 Functional analysis (46-XX) 14 Quantum theory (81-XX) 7 \(K\)-theory (19-XX) 7 Manifolds and cell complexes (57-XX) 5 Topological groups, Lie groups (22-XX) 4 Algebraic geometry (14-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Abstract harmonic analysis (43-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.