35 citations · 146 across the 11 of their papers we have counts for
12 papers
The Tambara-Yamagami calculus and finite semigroups
Super Cao, Daniel Tubbenhauer
Tambara-Yamagami categories are among the simplest fusion categories beyond the pointed case: one adds a single noninvertible simple object to a finite group of invertible ones. We…
The subregular and submaximal -cells
Vanessa Miemietz, Marie Roth, Daniel Tubbenhauer
Cells for the canonical and -canonical bases organise the representation theory and geometry of Hecke categories. We determine the relevant -canonical basis elements and the…
Growth problems in diagram categories
Jonathan Gruber, Daniel Tubbenhauer
In the semisimple case, we derive (asymptotic) formulas for the growth rate of the number of summands in tensor powers of the generating object in diagram/interpolation categories.
Cellularity for weighted KLRW algebras of types , ,
Andrew Mathas, Daniel Tubbenhauer
This paper constructs homogeneous affine sandwich cellular bases of weighted KLRW algebras in types , , . Our construction immediately gives homogeneous sandwi…
Cellularity and subdivision of KLR and weighted KLRW algebras
Andrew Mathas, Daniel Tubbenhauer
Weighted KLRW algebras are diagram algebras generalizing KLR algebras. This paper undertakes a systematic study of these algebras culminating in the construction of homogeneous aff…
Finitary birepresentations of finitary bicategories
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +2
In this paper, we discuss the generalization of finitary -representation theory of finitary -categories to finitary birepresentation theory of finitary bicategories. In previ…
Simple transitive -representations of Soergel bimodules for finite Coxeter types
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +2
In this paper we show that Soergel bimodules for finite Coxeter types have only finitely many equivalence classes of simple transitive -representations and we complete their cla…
Trihedral Soergel bimodules
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +1
The quantum Satake correspondence relates dihedral Soergel bimodules to the semisimple quotient of the quantum representation category. It also establishes a prec…
Simple transitive 2-representations via (co)algebra 1-morphisms
Marco Mackaay, Volodymyr Mazorchuk, Vanessa Miemietz +1
For any fiat 2-category C, we show how its simple transitive 2-representations can be constructed using coalgebra 1-morphisms in the injective abelianization of C. Dually, we show…
Two-color Soergel calculus and simple transitive 2-representations
Marco Mackaay, Daniel Tubbenhauer
In this paper we complete the -like classification of simple transitive -representations of Soergel bimodules in finite dihedral type, under the assumption of grad…
-webs, categorification and Khovanov-Rozansky homologies
Daniel Tubbenhauer
In this paper we define an explicit basis for the -web algebra (the generalization of Khovanov's arc algebra) using categorified $…
The sl_3 web algebra
Marco Mackaay, Weiwei Pan, Daniel Tubbenhauer
In this paper we use Kuperberg's -webs and Khovanov's -foams to define a new algebra , which we call the -web algebra. It is…