ScalingStacks

0P4I

Theorem 1.3.1. There is an equivalence of triangulated categories

ℱ(Sym∗(Σ),M)≃ℱ(Sym∗(Σ1),M1)⊗○ℱ(Sym∗(Σ2),M2)\mathcal{F}(\mathrm{Sym}^{*}(\Sigma),M)\simeq\mathcal{F}(\mathrm{Sym}^{*}(\Sigma_{1}),M_{1}){\hskip 1.9919pt\otimes\hskip-10.81218pt\bigcirc}\mathcal{F}(\mathrm{Sym}^{*}(\Sigma_{2}),M_{2})

compatible with the structure of higher representations of 𝔤​𝔩​(1|1)+\mathfrak{gl}(1|1)^{+}.

Original mathematics by the credited authors. Source collection and HTML conversion remain in progress.

Andrew Manion, Raphael Rouquier

Original source: arXiv:2009.09627v2