Articles of Sonia Natale

N. Andruskiewitsch, S. Natale, B. Torrecillas. A class of finite-by-cocommutative Hopf algebras. Preprint arXiv:2303.14037.

J. Dong, S. Natale, H. Sun. A class of prime fusion categories of dimension 2N. New York J. Math. 27, 141-163 (2021).

S. Natale. On the notion of exact sequence: from Hopf algebras to tensor categories. Contemp. Math. 771, 225-254 (2021).

S. Natale. Extensions of tensor categories by finite group fusion categories. Math. Proc. Camb. Philos. Soc. 170, No. 1, 161--189 (2021). 

S. Natale. On the classification of fusion categories. Proc. ICM 2018. World Scientific, Vol 2. 191-218 (2018).

S. Natale. The core of a weakly group-theoretical braided fusion category. Int. J. Math. 29, No. 2, Article ID 1850012, 23 p. (2018).

J. Dong, S. Natale. On the classification of almost square-free modular categories. Algebr. Represent. Theory 21, No. 6, 1353-1368 (2018).

A. Mejía Castaño, S. Montgomery, S. Natale, M. Vega, C. Walton. Cocycle deformations and Galois objects for semisimple Hopf algebras of dimension p3 and pq2. J. Pure Appl. Algebra 222, No. 7, 1643-1669 (2018).

S. Natale. On the equivalence of module categories over a group-theoretical fusion category. SIGMA: Symmetry Integrability Geom. Methods Appl. 13, Paper 042, 9 p. (2017).

J. M. Mombelli, S. Natale. Module categories over equivariantized tensor categories. Mosc. Math. J. 17, No. 1, 97-128 (2017).

M. Escañuela González, S. Natale. On fusion rules and solvability of a fusion category. J. Group Theory 20, No. 1, 133-167 (2017).

S. Natale. A Jordan-Hölder theorem for weakly group-theoretical fusion categories. Math. Z. 283, No. 1-2, 367-379 (2016).

E. Pacheco Rodríguez, S. Natale. Graphs attached to simple Frobenius-Perron dimensions of an integral fusion category. Monatsh. Math. 179, No. 4, 615-649 (2016).

S. Natale. Jordan-Hölder theorem for finite dimensional Hopf algebras. Proc. Am. Math. Soc. 143, No. 12, 5195-5211 (2015).

S. Natale. Crossed actions of matched pairs of groups on tensor categories. Tohoku Math. J. 68, No. 3, 377-405 (2016).

J. Dong, L. Vendramin, S. Natale. Frobenius property for fusion categories of small integral dimension. J. Algebra Appl. 14,  No. 2, Article ID 1550011, 17 p. (2015).

S. Natale. On weakly group-theoretical non-degenerate braided fusion categories. J. Noncommut. Geom. 8, No. 4, 1043-1060 (2014).

P. Bruillard, C. Galindo, S.-M. Hong, Y. Kashina, D. Naidu, S. Natale, J. Plavnik, E. Rowell. Classification of integral modular categories of Frobenius-Perron dimension pq^4 and p^2q^2, Can. Math. Bull. 57, No. 4, 721-734 (2014).
 

S. Burciu, S. Natale. Fusion rules of equivariantizations of fusion categories. J. Math. Phys.  54, No. 1, 013511, 21 p. (2013).

S. Natale, J. Plavnik. Solvability of a class of braided fusion categories. Appl. Categor. Struct. 22, 229-240 (2014).

S. Natale. Faithful simple objects, orders and gradings of fusion categories. Algebr. Geom. Topol. 13, No. 3, 1489–1511 (2013).

A. Bruguières, S. Natale. Central exact sequences of tensor categories, equivariantization and applications.  J. Math. Soc. Japan 66, 257-287 (2014).

T. Banica, J. Bichon, S. Natale. Finite quantum groups and quantum permutation groups. Adv. Math. 229, 3320-3338 (2012).

S. Natale, J. Plavnik. On fusion categories with few irreducible degrees. Algebra Number Theory 6, No. 6, 1171-1197 (2012).

S. Natale. On quasitriangular structures in Hopf algebras arising from exact group factorizations. Commun. Algebra 39, 4763-4775 (2011).

S. Natale. Semisimple Hopf algebras and their representations, Publ. Mat. Uruguay 12, 123-167 (2011).

A. Bruguières, S. Natale. Exact sequences of tensor categories, Int. Math. Res. Not. 2011, No. 24, 5644-5705 (2011).

J. Bichon, S. Natale. Hopf algebra deformations of binary polyhedral groups. Transform. Groups 16, No. 2, 339-374 (2011).

S. Natale. Semisimple Hopf algebras of dimension 60. J. Algebra 324, No. 11, 3017-3034 (2010).

S. Natale. Hopf algebra extensions of group algebras and Tambara-Yamagami categories. Algebr. Represent. Theory 13, No. 6,  673-691 (2010).

N. Andruskiewitsch, S. Natale. The structure of double groupoids. J. Pure Appl. Algebra 213, 1031-1045 (2009).

C. Galindo, S. Natale. Normal Hopf subalgebras in cocycle deformations of finite groups. Manuscripta Math. 125, 501-514 (2008).

C. Galindo, S. Natale. Simple Hopf algebras and deformations of finite groups. Math. Res. Lett. 14 (5-6), 943-954 (2007). 

S. Natale. R-matrices and Hopf algebra quotients. Int. Math. Res. Not. 2006, 1-18 (2006).

S. Natale. On the exponent of tensor categories coming from finite groups. Israel J. Math. 162, 253-273 (2007).

J. M. Mombelli, S. Natale. Tensor categories and vacant double groupoids. Math. Res. Lett. 14, No. 1, 1-18 (2007).

N. Andruskiewitsch, S. Natale. Tensor categories attached to double groupoids. Adv. Math. 200, No. 2, 539-583 (2006).

S. Natale. Frobenius-Schur indicators for a class of fusion categories. Pacific J. Math. 221, No. 2,, 353-378 (2005).

N. Andruskiewitsch, S. Natale. Double categories and quantum groupoids. Publ. Mat. Uruguay 10, 11-51 (2005).

S. Natale. Semisolvability of semisimple Hopf algebras of low dimension. Memoirs Amer. Math. Soc. 186, 123 pp. (2007).

S. Natale, On semisimple Hopf algebras of low dimension. AMA Algebra Montp. Announc.  01 (2003).  Paper No. 6.

N. Andruskiewitsch, S. Natale. Braided Hopf algebras arising from matched pairs  of groups. J. Pure Appl. Algebra  132, No. 2-3, 119-149 (2003).

S. Natale. On group theoretical Hopf algebras and exact factorizations of finite groups.  J. Algebra  270, 199-211 (2003).

S. Natale. On semisimple Hopf algebras of dimension pqr. Algebr. Represent. Theory 7, No. 2, 173-188 (2004).

S. Natale. Quasitriangular Hopf algebras of dimension pq. Bulletin of the London Math. Soc. 34, No. 3, 301-307  (2002).

S. Natale. Hopf algebras of dimension 12. Algebr. Represent. Theory 5, No. 5, 445-455 (2002).

N. Andruskiewitsch, S. Natale. Counting arguments for Hopf algebras of low dimension. Tsukuba J. Math.  25, No. 1, 187-201 (2001).

N. Andruskiewitsch, S. Natale. Harmonic analysis on semisimple Hopf algebras. Algebra i Analiz 12, No. 5, 3-27 (2000). St. Petersbg. Math. J. 12, No. 5, 713-732 (2001).

S. Natale. On semisimple Hopf algebras of dimension pq2, II. Algebr. Represent. Theory 4, No. 3, 277-291 (2001).

S. Natale. On semisimple Hopf algebras of dimension pq2. J. Algebra 221, No. 1,  242-278 (1999).

N. Andruskiewitsch, S. Natale. Examples of self-dual Hopf algebras. J. Math. Sci. Univ. Tokyo 6, No. 1,  181-215 (1999).

N. Andruskiewitsch, S. Natale. Plancherel identity for semisimple Hopf algebras. Commun. Alg. 25, No. 10, 3239-3254 (1997).


Lecture Notes

S. Natale, Álgebras de Hopf y categorías tensoriales. Trabajos de Matemática B 04/47. FaMAF. Notas de curso, II Encuentro Nacional de Álgebra, La Falda, Agosto 2004.

S. Natale, Sobre el problema de clasificación de las álgebras de Hopf semisimples.  Notas de curso  VI Encuentro Rioplatense de Álgebra y Geometría Algebraica,  Montevideo, Junio 2000.

Other

S. Natale, Álgebras de Hopf semisimples, Tesis de Doctorado, Universidad Nacional de Córdoba (1999).

S. Natale, Representaciones de álgebra de Lie  semisimples,
Tesis de Licenciatura, Universidad Nacional del Centro de la Provincia de Buenos Aires (1995).