24 citations · 31 across the 8 of their papers we have counts for
5 papers · 1 filter
Categorical diagonalization and -cells
Ben Elias, Lars Thorge Jensen, Joel Gibson
In the Iwahori-Hecke algebra, the full twist acts on cell modules by a scalar, and the half twist acts by a scalar and an involution. A categorification of this statement, describi…
Decreasing subsequences and Viennot for oscillating tableaux
Elijah Bodish, Ben Elias, David E. V. Rose +1
We establish an extension of Viennot's geometric (shadow line) construction to the setting of oscillating tableaux. We then use this to give a new proof of the Type analogue of…
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…
Actions of sl_2 on algebras appearing in categorification
Ben Elias, You Qi
We prove that many of the recently-constructed algebras and categories which appear in categorification can be equipped with an action of by derivations. The $\ma…