G. Böhm, F. Nill, and K. Szlachányi, Weak Hopf algebras. I. Integral theory and C ¦ -structure, J. Algebra, vol.221, issue.2, pp.385-438, 1999.

G. Böhm and K. Szlachányi, Weak Hopf algebras. II. Representation theory, dimensions, and the Markov trace, J. Algebra, vol.233, issue.1, pp.156-212, 2000.

K. De-commer and M. Yamashita, Tannaka-Kre?n duality for compact quantum homogeneous spaces. I. General theory, Theory Appl. Categ, vol.28, issue.31, p.14, 2013.

P. Etingof, S. Gelaki, D. Nikshych, and V. Ostrik, Tensor categories, Mathematical Surveys and Monographs, vol.205, p.19, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00111684

C. Galindo, Clifford theory for graded fusion categories, Israel J. Math, vol.192, issue.2, p.19, 2012.
DOI : 10.1007/s11856-012-0055-7
URL : http://arxiv.org/pdf/1010.5283

T. Hayashi, A canonical tannaka duality for semi finite tensor categories. Preprint, math.QA/9904073, vol.3, p.9, 1999.

E. Meir and E. Musicantov, Module categories over graded fusion categories, Journal of Pure and Applied Algebra, vol.4, issue.216, p.20, 2012.
DOI : 10.1016/j.jpaa.2012.03.014
URL : https://doi.org/10.1016/j.jpaa.2012.03.014

A. Mejia, C. , and M. Mombelli, Equivalence classes of exact module categories over graded tensor categories, vol.4, p.19, 2019.

C. Mevel, Exemples et applications des groupoides quantiques finis, vol.18, p.27, 2010.
URL : https://hal.archives-ouvertes.fr/tel-00498884

S. Neshveyev, Duality theory for nonergodic actions, Münster J. Math, vol.7, issue.2, p.13, 2014.

S. Neshveyev and L. Tuset, Compact quantum groups and their representation categories, Cours Spécialisés, vol.20

. Société-mathématique-de-france, , vol.5, p.9, 2013.

D. Nikshych and L. Vainerman, A Galois correspondence for II 1 factors and quantum groupoids, J. Funct. Anal, vol.178, issue.1, pp.113-142, 2000.

D. Nikshych and L. Vainerman, Finite quantum groupoids and their applications, New directions in Hopf algebras, vol.43, p.5, 2002.

V. Ostrik, Module categories, weak Hopf algebras and modular invariants, Transform. Groups, vol.8, issue.3, pp.177-206, 2003.
DOI : 10.1007/s00031-003-0515-6
URL : http://arxiv.org/pdf/math/0111139.pdf

H. Pfeiffer, Tannaka-Kre?n reconstruction and a characterization of modular tensor categories, J. Algebra, vol.321, issue.12, pp.3714-3763, 2009.

K. Szlachányi, Finite quantum groupoids and inclusions of finite type, Fields Inst.Commun, vol.30, p.11, 2001.

D. Tambara and S. Yamagami, Tensor categories with fusion rules of self-duality for finite abelian groups, J. Algebra, vol.209, issue.2, p.17, 1998.

L. Vainerman and J. Vallin, On z/2z-extensions of pointed fusion categories, vol.98, p.15, 2012.
URL : https://hal.archives-ouvertes.fr/hal-01146902

L. Vainerman and J. Vallin, Tannaka-Krein reconstruction for coactions of finite quantum groupoids, Methods Funct. Anal. Topology, vol.23, issue.1, p.16, 2017.
URL : https://hal.archives-ouvertes.fr/hal-02143671