We give a classification of ℤ/2ℤ-graded fusion categories whose 0-component is a pointed fusion category. A number of concrete examples are considered.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-15, author = {Leonid Vainerman and Jean-Michel Vallin}, title = {On $\mathbb{Z}$/2$\mathbb{Z}$-extensions of pointed fusion categories}, journal = {Banach Center Publications}, volume = {97}, year = {2012}, pages = {343-366}, zbl = {1280.18006}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-15} }
Leonid Vainerman; Jean-Michel Vallin. On ℤ/2ℤ-extensions of pointed fusion categories. Banach Center Publications, Tome 97 (2012) pp. 343-366. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc98-0-15/