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, (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).