6 citations · 7 across the 3 of their papers we have counts for
6 papers
A singular Coxeter presentation
Ben Elias, Hankyung Ko
We enlarge a Coxeter group into a category, with one object for each finite parabolic subgroup, encoding the combinatorics of double cosets. This category, the singular Coxeter mon…
Type Webs
Elijah Bodish, Ben Elias, David E. V. Rose +1
We define a -linear pivotal category and prove that it is equivalent to the full subcategory of finite-dimensional representations…
Gaitsgory's central sheaves via the diagrammatic Hecke category
Ben Elias
We initiate the study of Gaitsgory's central sheaves using complexes of Soergel bimodules, in extended affine type A. We conjecture that the complex associated to the standard repr…
Categorical diagonalization
Ben Elias, Matthew Hogancamp
This paper lays the groundwork for the theory of categorical diagonalization. Given a diagonalizable operator, tools in linear algebra (such as Lagrange interpolation) allow one to…
Folding with Soergel bimodules
Ben Elias
We give a gentle introduction to the concept of folding. That is, we provide an elementary discussion of equivariant categories, their weighted Grothendieck groups, and the technic…
Rouquier Complexes are Functorial over Braid Cobordisms
Ben Elias, Daniel Krasner
Using the diagrammatic calculus for Soergel bimodules developed by B. Elias and M. Khovanov, we show that Rouquier complexes are functorial over braid cobordisms. We explicitly des…