Braid group actions from categorical symmetric Howe duality on deformed Webster algebras

Abstract

We construct a 2-representation categorifying the symmetric Howe representation of ${\mathfrak{gl}}_m$ using a deformation of an algebra introduced by Webster. As a consequence, we obtain a categorical braid group action taking values in a homotopy category.

71 pages, tikz diagrams. v2 corrects typos

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Cited by in corpus (2)

• Universal construction of topological theories in two dimensions
• A $p$-DG deformed Webster algebra of type $A_1$