# The twisted Drinfeld double of a finite group via gerbes and finite groupoids

@article{Willerton2008TheTD, title={The twisted Drinfeld double of a finite group via gerbes and finite groupoids}, author={S. Willerton}, journal={Algebraic & Geometric Topology}, year={2008}, volume={8}, pages={1419-1457} }

The twisted Drinfeld double (or quasi-quantum double) of a finite group with a 3‐ cocycle is identified with a certain twisted groupoid algebra. The groupoid is the loop (or inertia) groupoid of the original group and the twisting is shown geometrically to be the loop transgression of the 3‐cocycle. The twisted representation theory of finite groupoids is developed and used to derive properties of the Drinfeld double, such as representations being classified by their characters. This is all… CONTINUE READING

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