Explicit S^1-gerbe over [G/G] via central extensions of Lie groupoids, with Dixmier-Douady class equal to the canonical generator in equivariant cohomology for suitable G.
Giraud, Cohomologie non ab´ elienne, Die Grundlehren der mathematischen Wis- senschaften, Band 179
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An Explicit Construction of $\mathbb{S}^1$-Gerbes over the Stack $[G/G]$
Explicit S^1-gerbe over [G/G] via central extensions of Lie groupoids, with Dixmier-Douady class equal to the canonical generator in equivariant cohomology for suitable G.