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On cubes of Frobenius extensions

Published 27 Aug 2013 in math.RT and math.QA | (1308.5994v2)

Abstract: Given a hypercube of Frobenius extensions between commutative algebras, we provide a diagrammatic description of some natural transformations between compositions of induction and restriction functors, in terms of colored transversely-intersecting planar 1-manifolds. The relations arise in the first and third authors' work on (singular) Soergel bimodules.

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