The Relative Deligne Tensor Product over Pointed Braided Fusion Categories
Thibault D. D\'ecoppet
TL;DR
This paper provides a formula for the relative Deligne tensor product of indecomposable finite semisimple module categories over pointed braided fusion categories, advancing the understanding of their tensor structures.
Contribution
It introduces a new explicit formula for the relative Deligne tensor product in the context of pointed braided fusion categories.
Findings
Derived an explicit formula for the tensor product
Enhanced understanding of module categories over braided fusion categories
Facilitated computations in fusion category theory
Abstract
We give a formula for the relative Deligne tensor product of two indecomposable finite semisimple module categories over a pointed braided fusion category over an algebraically closed field.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology