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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.
Leonid Vainerman, and Jean-Michel Vallin. "On ℤ/2ℤ-extensions of pointed fusion categories." Banach Center Publications 98.1 (2012): 343-366. <http://eudml.org/doc/282327>.
@article{LeonidVainerman2012, abstract = {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.}, author = {Leonid Vainerman, Jean-Michel Vallin}, journal = {Banach Center Publications}, keywords = {fusion category; extensions; bicharacter; fusion ring; Grothendieck ring}, language = {eng}, number = {1}, pages = {343-366}, title = {On ℤ/2ℤ-extensions of pointed fusion categories}, url = {http://eudml.org/doc/282327}, volume = {98}, year = {2012}, }
TY - JOUR AU - Leonid Vainerman AU - Jean-Michel Vallin TI - On ℤ/2ℤ-extensions of pointed fusion categories JO - Banach Center Publications PY - 2012 VL - 98 IS - 1 SP - 343 EP - 366 AB - 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. LA - eng KW - fusion category; extensions; bicharacter; fusion ring; Grothendieck ring UR - http://eudml.org/doc/282327 ER -