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

Abstract

We describe indecomposable objects in Deligne's category $\underline{\mathrm{Re}}p(O_{\delta })$ and explain how to decompose their tensor products. We then classify thick ideals in $\underline{\mathrm{Re}}p(O_{\delta })$. As an application we classify the indecomposable summands of tensor powers of the standard representation of the orthosymplectic supergroup up to isomorphism.

v2: minor corrections