122 citations · 284 across the 30 of their papers we have counts for
35 papers
Cellularity of KLR and weighted KLRW algebras via crystals
Andrew Mathas, Daniel Tubbenhauer
We prove that the weighted KLRW algebras of finite type, and their cyclotomic quotients, are cellular algebras. The cellular bases are explicitly described using crystal graphs. As…
Content systems and deformations of cyclotomic KLR algebras of type and
Anton Evseev, Andrew Mathas
This paper initiates a systematic study of the cyclotomic KLR algebras of affine types and . We start by introducing a graded deformation of these algebras and the construct…
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…
Positive Jantzen sum formulas for cyclotomic Hecke algebras
Andrew Mathas
We prove a ``positive'' Jantzen sum formula for the Specht modules of the cyclotomic Hecke algebras of type~. That is, in the Grothendieck group, we show that the sum of the pie…
Skew cellularity of the Hecke algebras of type
Jun Hu, Andrew Mathas, Salim Rostam
This paper introduces (graded) skew cellular algebras, which generalise Graham and Lehrer's cellular algebras. We show that all of the main results from the theory of cellular alge…