Basak, Tathagata; Gelaki, Shlomo Exact factorizations and extensions of finite tensor categories. (English) Zbl 1523.18016 J. Algebra 631, 46-71 (2023). Reviewer: Blas Torrecillas (Almería) MSC: 18M20 16T05 PDFBibTeX XMLCite \textit{T. Basak} and \textit{S. Gelaki}, J. Algebra 631, 46--71 (2023; Zbl 1523.18016) Full Text: DOI arXiv
Shi, Yuxing Finite-dimensional Nichols algebras over the Suzuki algebras. I: Simple Yetter-Drinfeld modules of \(A_{N\,2n}^{\mu\lambda}\). (English) Zbl 07739237 Bull. Belg. Math. Soc. - Simon Stevin 29, No. 2, 207-233 (2022). Reviewer: Emanuele Zappala (New Haven) MSC: 16T05 16D60 16T25 PDFBibTeX XMLCite \textit{Y. Shi}, Bull. Belg. Math. Soc. - Simon Stevin 29, No. 2, 207--233 (2022; Zbl 07739237) Full Text: DOI arXiv
Dai, L. Extensions of a near-group category of type \((\mathbb{Z}_2;1)\). (English) Zbl 1513.18012 Acta Math. Hung. 167, No. 2, 404-418 (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 18M20 16T05 PDFBibTeX XMLCite \textit{L. Dai}, Acta Math. Hung. 167, No. 2, 404--418 (2022; Zbl 1513.18012) Full Text: DOI
Natale, Sonia On the notion of exact sequence: from Hopf algebras to tensor categories. (English) Zbl 1497.18026 Andruskiewitsch, Nicolás (ed.) et al., Hopf algebras and tensor categories. International workshop, Nanjing University, Nanjing, China, September 9–13, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 771, 225-254 (2021). MSC: 18M20 16T05 PDFBibTeX XMLCite \textit{S. Natale}, Contemp. Math. 771, 225--254 (2021; Zbl 1497.18026) Full Text: DOI arXiv
Xiong, Rongchuan; Yu, Zhiqiang Cocycle deformations and Galois objects of semisimple Hopf algebras of dimension 16. (English) Zbl 1452.16032 Commun. Algebra 48, No. 11, 4615-4637 (2020). Reviewer: Luz Adriana Mejia (Barranquilla) MSC: 16T05 16S35 18D20 PDFBibTeX XMLCite \textit{R. Xiong} and \textit{Z. Yu}, Commun. Algebra 48, No. 11, 4615--4637 (2020; Zbl 1452.16032) Full Text: DOI arXiv
Yu, Zhiqiang Categorical Morita equivalence and monoidal Morita equivalence of semisimple Hopf algebras of dimension \(p q r\). (English) Zbl 1444.16046 J. Algebra Appl. 18, No. 1, Article ID 1950008, 15 p. (2019). Reviewer: Luz Adriana Mejia (Barranquilla) MSC: 16T05 16S35 PDFBibTeX XMLCite \textit{Z. Yu}, J. Algebra Appl. 18, No. 1, Article ID 1950008, 15 p. (2019; Zbl 1444.16046) Full Text: DOI arXiv
Dong, Jingcheng; Natale, Sonia On the classification of almost square-free modular categories. (English) Zbl 1411.18010 Algebr. Represent. Theory 21, No. 6, 1353-1368 (2018). Reviewer: J. N. Alonso Alvarez (Vigo) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{J. Dong} and \textit{S. Natale}, Algebr. Represent. Theory 21, No. 6, 1353--1368 (2018; Zbl 1411.18010) Full Text: DOI arXiv Link
Mejía Castaño, Adriana; Montgomery, Susan; Natale, Sonia; Vega, Maria D.; Walton, Chelsea Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension \(p^{3}\) and \(pq^{2}\). (English) Zbl 1409.16027 J. Pure Appl. Algebra 222, No. 7, 1643-1669 (2018). MSC: 16T05 16S35 18D10 PDFBibTeX XMLCite \textit{A. Mejía Castaño} et al., J. Pure Appl. Algebra 222, No. 7, 1643--1669 (2018; Zbl 1409.16027) Full Text: DOI arXiv
Natale, Sonia On the equivalence of module categories over a group-theoretical fusion category. (English) Zbl 1437.18011 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 042, 9 p. (2017). MSC: 18M20 16T05 PDFBibTeX XMLCite \textit{S. Natale}, SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 042, 9 p. (2017; Zbl 1437.18011) Full Text: DOI arXiv
Escañuela González, Melisa; Natale, Sonia On fusion rules and solvability of a fusion category. (English) Zbl 1368.18004 J. Group Theory 20, No. 1, 133-167 (2017). Reviewer: Gabriella Böhm (Budapest) MSC: 18D10 20F19 18D20 20C15 16T05 PDFBibTeX XMLCite \textit{M. Escañuela González} and \textit{S. Natale}, J. Group Theory 20, No. 1, 133--167 (2017; Zbl 1368.18004) Full Text: DOI arXiv Link
Gelaki, Shlomo Exact factorizations and extensions of fusion categories. (English) Zbl 1405.18012 J. Algebra 480, 505-518 (2017). Reviewer: Liu Gongxiang (Nanjing) MSC: 18D10 PDFBibTeX XMLCite \textit{S. Gelaki}, J. Algebra 480, 505--518 (2017; Zbl 1405.18012) Full Text: DOI arXiv
Naidu, Deepak Minimal example of non-isocategorical groups that are categorically Morita equivalent. (English) Zbl 1434.18008 J. Algebra Appl. 16, No. 2, Article ID 1750037, 4 p. (2017). MSC: 18M05 19A22 20C15 PDFBibTeX XMLCite \textit{D. Naidu}, J. Algebra Appl. 16, No. 2, Article ID 1750037, 4 p. (2017; Zbl 1434.18008) Full Text: DOI
Dai, Li; Dong, Jingcheng On Kaplansky’s sixth conjecture. (English) Zbl 1354.16035 Rend. Semin. Mat. Univ. Padova 135, 1-20 (2016). Reviewer: Giovanna Carnovale (Padova) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{L. Dai} and \textit{J. Dong}, Rend. Semin. Mat. Univ. Padova 135, 1--20 (2016; Zbl 1354.16035) Full Text: DOI arXiv
Natale, Sonia A Jordan-Hölder theorem for weakly group-theoretical fusion categories. (English) Zbl 1338.18032 Math. Z. 283, No. 1-2, 367-379 (2016). Reviewer: Agustín García Iglesias (Córdoba) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{S. Natale}, Math. Z. 283, No. 1--2, 367--379 (2016; Zbl 1338.18032) Full Text: DOI arXiv
Burciu, Sebastian On a symmetry of Müger’s centralizer for the Drinfeld double of a semisimple Hopf algebra. (English) Zbl 1315.16026 Math. Z. 279, No. 1-2, 227-240 (2015). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, Math. Z. 279, No. 1--2, 227--240 (2015; Zbl 1315.16026) Full Text: DOI arXiv
Natale, Sonia; Plavnik, Julia Yael Solvability of a class of braided fusion categories. (English) Zbl 1309.18006 Appl. Categ. Struct. 22, No. 1, 229-240 (2014). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{S. Natale} and \textit{J. Y. Plavnik}, Appl. Categ. Struct. 22, No. 1, 229--240 (2014; Zbl 1309.18006) Full Text: DOI arXiv
Keilberg, Marc Higher indicators for the doubles of some totally orthogonal groups. (English) Zbl 1315.16028 Commun. Algebra 42, No. 7, 2969-2998 (2014). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 20C15 PDFBibTeX XMLCite \textit{M. Keilberg}, Commun. Algebra 42, No. 7, 2969--2998 (2014; Zbl 1315.16028) Full Text: DOI arXiv
Bruguières, Alain; Natale, Sonia Central exact sequences of tensor categories, equivariantization and applications. (English) Zbl 1311.18009 J. Math. Soc. Japan 66, No. 1, 257-287 (2014). Reviewer: Gregor Schaumann (Bonn) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{A. Bruguières} and \textit{S. Natale}, J. Math. Soc. Japan 66, No. 1, 257--287 (2014; Zbl 1311.18009) Full Text: DOI arXiv Euclid
Burciu, Sebastian Normal Hopf subalgebras of semisimple Drinfeld doubles. (English) Zbl 1290.16027 J. Pure Appl. Algebra 218, No. 3, 540-552 (2014). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Burciu}, J. Pure Appl. Algebra 218, No. 3, 540--552 (2014; Zbl 1290.16027) Full Text: DOI arXiv
Shimizu, Kenichi Some computations of Frobenius-Schur indicators of the regular representations of Hopf algebras. (English) Zbl 1260.16028 Algebr. Represent. Theory 15, No. 2, 325-357 (2012). MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{K. Shimizu}, Algebr. Represent. Theory 15, No. 2, 325--357 (2012; Zbl 1260.16028) Full Text: DOI arXiv
Keilberg, Marc Higher indicators for some groups and their doubles. (English) Zbl 1255.16035 J. Algebra Appl. 11, No. 2, 1250030, 38 p. (2012). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 20C15 PDFBibTeX XMLCite \textit{M. Keilberg}, J. Algebra Appl. 11, No. 2, 1250030, 38 p. (2012; Zbl 1255.16035) Full Text: DOI arXiv
Naidu, Deepak; Rowell, Eric C. A finiteness property for braided fusion categories. (English) Zbl 1253.18005 Algebr. Represent. Theory 14, No. 5, 837-855 (2011). Reviewer: Sonia Natale (Córdoba) MSC: 18D10 20F36 16T05 PDFBibTeX XMLCite \textit{D. Naidu} and \textit{E. C. Rowell}, Algebr. Represent. Theory 14, No. 5, 837--855 (2011; Zbl 1253.18005) Full Text: DOI arXiv
Natale, Sonia On quasitriangular structures in Hopf algebras arising from exact group factorizations. (English) Zbl 1255.16036 Commun. Algebra 39, No. 12, 4763-4775 (2011). Reviewer: Yang Shilin (Beijing) MSC: 16T05 16T25 20D40 17B37 PDFBibTeX XMLCite \textit{S. Natale}, Commun. Algebra 39, No. 12, 4763--4775 (2011; Zbl 1255.16036) Full Text: DOI arXiv
Shimizu, Kenichi Frobenius-Schur indicators in Tambara-Yamagami categories. (English) Zbl 1236.18012 J. Algebra 332, No. 1, 543-564 (2011). Reviewer: Ittay Weiss (Suva) MSC: 18D10 16T05 PDFBibTeX XMLCite \textit{K. Shimizu}, J. Algebra 332, No. 1, 543--564 (2011; Zbl 1236.18012) Full Text: DOI arXiv
Etingof, Pavel; Nikshych, Dmitri; Ostrik, Victor Weakly group-theoretical and solvable fusion categories. (English) Zbl 1210.18009 Adv. Math. 226, No. 1, 176-205 (2011). Reviewer: Earl J. Taft (New Brunswick) MSC: 18D99 16B99 16T05 PDFBibTeX XMLCite \textit{P. Etingof} et al., Adv. Math. 226, No. 1, 176--205 (2011; Zbl 1210.18009) Full Text: DOI arXiv
Natale, Sonia Hopf algebra extensions of group algebras and Tambara-Yamagami categories. (English) Zbl 1228.16033 Algebr. Represent. Theory 13, No. 6, 673-691 (2010). Reviewer: Serban Raianu (Carson) MSC: 16T05 18D10 PDFBibTeX XMLCite \textit{S. Natale}, Algebr. Represent. Theory 13, No. 6, 673--691 (2010; Zbl 1228.16033) Full Text: DOI arXiv
Jedwab, Andrea; Montgomery, Susan Representations of some Hopf algebras associated to the symmetric group \(S_n\). (English) Zbl 1200.16048 Algebr. Represent. Theory 12, No. 1, 1-17 (2009). Reviewer: Sonia Natale (Córdoba) MSC: 16T05 16S40 20B30 16G30 20D40 20C15 PDFBibTeX XMLCite \textit{A. Jedwab} and \textit{S. Montgomery}, Algebr. Represent. Theory 12, No. 1, 1--17 (2009; Zbl 1200.16048) Full Text: DOI arXiv
Naidu, Deepak; Nikshych, Dmitri Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups. (English) Zbl 1139.16028 Commun. Math. Phys. 279, No. 3, 845-872 (2008). MSC: 16W30 17B37 18D10 22E65 PDFBibTeX XMLCite \textit{D. Naidu} and \textit{D. Nikshych}, Commun. Math. Phys. 279, No. 3, 845--872 (2008; Zbl 1139.16028) Full Text: DOI arXiv
Natale, Sonia On the exponent of tensor categories coming from finite groups. (English) Zbl 1152.16029 Isr. J. Math. 162, 253-273 (2007). Reviewer: Simion Sorin Breaz (Cluj-Napoca) MSC: 16W30 18D10 PDFBibTeX XMLCite \textit{S. Natale}, Isr. J. Math. 162, 253--273 (2007; Zbl 1152.16029) Full Text: DOI arXiv
Goff, Christopher; Mason, Geoffrey; Ng, Siu-Hung On the gauge equivalence of twisted quantum doubles of elementary Abelian and extra-special 2-groups. (English) Zbl 1171.16021 J. Algebra 312, No. 2, 849-875 (2007). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16W30 18D10 17B37 PDFBibTeX XMLCite \textit{C. Goff} et al., J. Algebra 312, No. 2, 849--875 (2007; Zbl 1171.16021) Full Text: DOI arXiv
Ng, Siu-Hung; Schauenburg, Peter Frobenius-Schur indicators and exponents of spherical categories. (English) Zbl 1138.16017 Adv. Math. 211, No. 1, 34-71 (2007). Reviewer: Christopher P. Bendel (Menomonie) MSC: 16W30 18D10 PDFBibTeX XMLCite \textit{S.-H. Ng} and \textit{P. Schauenburg}, Adv. Math. 211, No. 1, 34--71 (2007; Zbl 1138.16017) Full Text: DOI arXiv
Goff, Christopher An explicit fusion algebra isomorphism for twisted quantum doubles of finite groups. (English) Zbl 1073.16029 J. Algebra 283, No. 2, 738-751 (2005). Reviewer: Sonia Natale (Cordoba) MSC: 16W30 PDFBibTeX XMLCite \textit{C. Goff}, J. Algebra 283, No. 2, 738--751 (2005; Zbl 1073.16029) Full Text: DOI Link