- There is likewise a natural [categorification](categorification.md) of the [group algebra](group%20algebra.md) $\mathbb{C}[\Gamma]$, namely the [monoidal category](monoidal%20category.md) $\mathcal{D}(G)$ of $\mathcal{D}$ -modules on the group $G$ under convolution.

	- Categorified: monoidal categories of sheaves on G with convolution

- For a finite group, carries the structure of a symmetric [Frobenius algebra](Frobenius%20algebra)