Specialisation of Soergel Bimodules
Benjamin McDonnell
TL;DR
This paper generalizes the specialization functor for Soergel bimodules, demonstrating that the extended version still maps Soergel bimodules to Soergel modules, thus broadening the understanding of their structural properties.
Contribution
It introduces a generalized specialization functor for Soergel bimodules and proves it preserves the bimodule structure, extending previous theoretical frameworks.
Findings
The generalized functor maps Soergel bimodules to Soergel modules.
Preservation of bimodule structure under the generalized functor.
Enhanced understanding of specialization in the context of Soergel bimodules.
Abstract
We consider a generalisation of the specialisation functor on Soergel bimodules and show that this generalised version still takes Soergel bimodules to Soergel modules.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra