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Embedding Deligne's category $\mathrm{\underline{Re}p}(S_t)$ in the Heisenberg category
Published 14 May 2019 in math.RT and math.CT | (1905.05620v2)
Abstract: We define a faithful linear monoidal functor from the partition category, and hence from Deligne's category $\mathrm{\underline{Re}p}(S_t)$, to the Heisenberg category. We show that the induced map on Grothendieck rings is injective and corresponds to the Kronecker coproduct on symmetric functions.
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