Fetching the paper…
Reading the bibliography…
We introduce two new classes of fusion categories which are obtained by a certain procedure from finite groups - weakly group-theoretical categories and solvable categories.
P. Deligne, Catégories tannakiennes
1990
Earlier work this paper cites.
A. Masuoka, Some further classification results on semisimple Hopf algebras
1996
Earlier work this paper cites.
W. Nichols, M. Richmond, The Grothendieck group of a Hopf algebra
1996
Earlier work this paper cites.
N. Fukuda, Semisimple Hopf algebras of dimension 12 12
1997
Earlier work this paper cites.
S. Gelaki, Quantum groups of dimension p q 2 pq^{2}
1997
Earlier work this paper cites.
P. Etingof, S.Gelaki, Some properties of finite-dimensional semisimple Hopf algebras
1998
Earlier work this paper cites.
P. Etingof, S.Gelaki, Semisimple Hopf algebras of dimension p q pq are trivial
1998
Earlier work this paper cites.
S. Montgomery, S. Witherspoon, Irreducible representations of crossed products
1998
Earlier work this paper cites.
D. Nikshych, K 0 K_{0} -rings and twisting of finite dimensional semisimple Hopf algebras
1998
Earlier work this paper cites.
1998
Earlier work this paper cites.
N. Andruskiewitsch, S. Natale, Examples of self-dual Hopf algebras
1999
Earlier work this paper cites.
S. Natale, On semisimple Hopf algebras of dimension p q 2 pq^{2}
1999
Earlier work this paper cites.
A. Bruguières, Catégories prémodulaires, modularization et invariants des variétés de dimension 3 3
2000
Cited alongside, same era.
P. Etingof, S.Gelaki, The classification of triangular semisimple and cosemisimple Hopf algebras over an algebraically closed field
2000
Cited alongside, same era.
M. Müger, Galois theory for braided tensor categories and the modular closure
2000
Cited alongside, same era.
B. Bakalov, A. Kirillov Jr., Lectures on Tensor categories and modular functors
2001
Cited alongside, same era.
S. Natale, On semisimple Hopf algebras of dimension p q 2 pq^{2} . II
2001
Cited alongside, same era.
D. Tambara, Invariants and semi-direct products for finite group actions on tensor categories
2001
V. Ostrik, Module categories over the Drinfeld double of a finite group
2003
Later among the works it cites.
P. Etingof, S. Gelaki, and V. Ostrik, Classification of fusion categories of dimension pq
2004
Later among the works it cites.
P. Etingof, V. Ostrik, Finite tensor categories
2004
Later among the works it cites.
M. Müger, Galois extensions of braided tensor categories and braided crossed G-categories. J. Alg. 277, 256–281 (2004)
2004
Later among the works it cites.
S. Natale, On semisimple Hopf algebras of dimension p q r pq^{r}
2004
Later among the works it cites.
J. Donin, A. Mudrov, Dynamical Yang-Baxter equation and quantum vector bundles
2005
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
P. Deligne, Catégories tensorielles
2002
Cited alongside, same era.
M. Izumi, H. Kosaki, Kac algebras arising from composition of subfactors: general theory and classification
2002
Cited alongside, same era.
M. Müger, From subfactors to categories and topology I. Frobenius algebras in and Morita equivalence of tensor categories
2003
Cited alongside, same era.
M. Müger, On the structure of modular categories, Proc. London Math. Soc. (3) 87 (2003), no. 2, 291–308
2003
Cited alongside, same era.
S. Natale, On group theoretical Hopf algebras and exact factorizations of finite groups
2003
Cited alongside, same era.
V. Ostrik, Module categories, weak Hopf algebras and modular invariants
2003
Cited alongside, same era.
P. Etingof, D. Nikshych, and V. Ostrik, On fusion categories
2005
Later among the works it cites.
C. Galindo, S. Natale, Simple Hopf algebras and deformations of finite groups
2007
Later among the works it cites.
S. Natale, Semisolvability of semisimple Hopf algebras of low dimension
2007
Later among the works it cites.
S. Gelaki, D. Nikshych, Nilpotent fusion categories
2008
Closest in time.
D. Naidu and D. Nikshych, Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups
2008
Closest in time.
D. Nikshych, Non group-theoretical semisimple Hopf algebras from group actions on fusion categories
2008
Closest in time.