From Projective Representations to Quasi-quantum Groups
نویسندگان
چکیده
This is a contribution to the project of quiver approaches to quasi-quantum groups initiated in [13]. We classify Majid bimodules over groups with 3-cocycles by virtue of projective representations. This leads to a theoretic classification of graded pointed Majid algebras over path coalgebras, or equivalently cofree pointed coalgebras, and helps to provide a projective representation-theoretic description of the gauge equivalence of graded pointed Majid algebras. We apply this machinery to construct some concrete examples and obtain a classification of finitedimensional graded pointed Majid algebras with the set of group-likes equal to the cyclic group Z2 of order 2.
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