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We describe indecomposable objects in Deligne's category$\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$ and explain how todecompose their tensor products. We then classify thick ideals in$\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$. As an applicationwe classify the indecomposable summands of tensor powers of the standardrepresentation of the orthosymplectic supergroup up to isomorphism.

Thick Ideals in Deligne's category $\underline{\operatorname{Re}}\!\operatorname{p}(O_\delta)$