Tensor product categorifications, Verma modules and the blob 2-category
Abel Lacabanne
Université Clermont Auvergne, Clermont-Ferrand, FranceGrégoire Naisse
Max-Planck Institute for Mathematics, Bonn, GermanyPedro Vaz
Université Catholique de Louvain, Louvain-la-Neuve, Belgium
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Abstract
We construct a dg-enhancement of KLRW algebras that categorifies the tensor product of a universal Verma module and several integrable irreducible modules. When the integrable modules are two-dimensional, we construct a categorical action of the blob algebra on derived categories of these dg-algebras which intertwines the categorical action of . From the above we derive a categorification of the blob algebra.
Cite this article
Abel Lacabanne, Grégoire Naisse, Pedro Vaz, Tensor product categorifications, Verma modules and the blob 2-category. Quantum Topol. 12 (2021), no. 4, pp. 705–812
DOI 10.4171/QT/156