Introduction to Soergel Bimodules
Max Planck Institute for Mathematics
Abstract Algebra
We initiate the study of $K$ -theory Soergel bimodules, a global and $K$ -theoretic version of Soergel bimodules
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We define and study categories of singular Soergel bimodules, which are certain natural generalisations of
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We construct a functor from the Hecke category to a
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Ben Elias, Noah Snyder, and Geordie Williamson
Ben Elias
Here, a singular Hecke category categofies the module triv S 0 algebra [BK09]
We de ne a composition, , of nto be a nite sequence of non Thesis
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Work in progress of Ben Elias and Geordie Williamson uses D sp 4 to extend the quantum algebraic Satake equivalence [9] Ben Elias and Geordie Williamson
2022
In recent work Elias and Williamson have proved these properties in full generality by showing that these bimodules possess "Hodge type" properties
SINGULAR LIGHT LEAVES BEN ELIAS, HANKYUNG KO, NICOLAS LIBEDINSKY, AND LEONARDO PATIMO Abstract
We also classify object-preserving
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Hankyung Ko In Section 2, we recall basic facts about ∗ $*$-multiplication, double cosets, and Williamson's theory of singular expressions
The analogous two‐colored Jones–Wenzl projector plays an important role in the Elias–Williamson construction of the diagrammatic Hecke category
We are finally in a position to complete the induction outlined in Chap
Soergel bimodules can be described as summands of Bott–Samelson bimodules (attached to sequences