ScalingStacks

Definition 3.9. The category of equivariant mixed Tate motives on a point

$$\operatorname{DTM}_{G}(k,\mathbb{Q})\subset\operatorname{DM}_{G}(k,\mathbb{Q})$$

is the full subcategory of objects $M$ such that $\operatorname{For}(M)\in\operatorname{DTM}(k,\mathbb{Q}),$