33 citations · 115 across the 26 of their papers we have counts for
19 papers · 1 filter
Singular Soergel bimodules for realizations
Noriyuki Abe
Williamson defined the category of singular Soergel bimodules attached to a reflection faithful representation of a Coxeter group. We generalize this construction to more general r…
A homomorphism between Bott-Samelson bimodules
Noriyuki Abe
In the previous paper, we defined a new category which categorifies the Hecke algebra. This is a generalization of the theory of Soergel bimodules. To prove theorems, the existence…
On one-sided singular Soergel bimodules
Noriyuki Abe
We establish a theory of singular Soergel bimodules which is a generalization of (a part of) Williamson's theory. We use a formulation of Soergel bimodules developed by the author.
A Hecke action on -modules
Noriyuki Abe
We give an action of the Hecke category on the principal block of -modules where is a connected reductive group over an algebraically closed field…
On Soergel bimodules
Noriyuki Abe
For a Coxeter system and a representation of this Coxeter system, Soergel defined a category which is now called the category of Soergel bimodules and proved that this gives a…
A comparison between pro- Iwahori-Hecke modules and mod representations
Noriyuki Abe
We give an equivalence of categories between certain subcategories of modules of pro--Iwahori Hecke algebras and modulo representations.