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The purpose of this short note is to understand the Grothendieck ring of theDeligne category $\underline{\text{Rep}}(GL_t)$. We give a formula for theclass of an indecomposable object in terms of exterior powers of thetautological object and its dual.

Indecomposable Objects of $\underline{Rep}(GL_t)$ in Terms of Exterior Powers of the Tautological Object and its Dual