Deligne categories and representations of the infinite symmetric group
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DOI: 10.1016/j.aim.2019.01.041
Abstract: We establish a connection between two settings of representation stability for the symmetric groups $S_n$ over $\mathbb{C}$. One is the symmetric monoidal category ${\rm Rep}(S_{\infty})$ of algebraic representations of the infinite symmetric group $S_{\infty} =… read more here.
Keywords: representations infinite; rep; underline rep; infinite symmetric ... See more keywords
Deligne Categories and the Limit of Categories Rep(GL(m|n))
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DOI: 10.1093/imrn/rny144
Abstract: For each integer $t$ a tensor category $\mathcal{V}_t$ is constructed, such that exact tensor functors $\mathcal{V}_t\rightarrow \mathcal{C}$ classify dualizable $t$-dimensional objects in $\mathcal{C}$ not annihilated by any Schur functor. This means that $\mathcal{V}_t$ is the… read more here.
Keywords: deligne categories; categories limit; categories rep; tensor ... See more keywords