The dg-enhanced KLRW-to-quiver Schur algebra isomorphism conjecture

Let Tbλ,NT_b^{\lambda,\underline{N}} be the dg-enhanced KLRW algebra and let (dgQbN,dN)({}_{dg}Q_b^{{\underline{N}}},d_N) be the dg-quiver Schur algebra, with the two maps of graded dg-algebras constructed in Proposition defining the comparison. Isomorphism conjecture. The maps in that construction are isomorphisms. This conjecture identifies the dg-enhanced KLRW algebra with the dg-quiver Schur algebra through the displayed algebra maps; the supplied text gives no resolution status.

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Primary source

Abel Lacabanne, Grégoire Naisse and Pedro Vaz, “Tensor product categorifications, Verma modules and the blob 2-category”, arXiv:2005.06257 (2020).

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