33 citations · 115 across the 26 of their papers we have counts for
27 papers
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…
On the irreducibility of -adic Banach principal series of -adic
Noriyuki Abe, Florian Herzig
We establish an optimal (topological) irreducibility criterion for -adic Banach principal series of , where is finite and . This is…
On the irreducibility of -adic Banach principal series of -adic reductive groups
Noriyuki Abe, Florian Herzig
Suppose that is the group of -points of a connected reductive group over , where is a finite extension. We study the (topological) irreducibility of prin…
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…