24 citations · 36 across the 3 of their papers we have counts for
4 papers
Homomorphisms from an arbitrary Specht module to one corresponding to a hook
Joseph Loubert
We use the presentation of the Specht modules given by Kleshchev-Mathas-Ram to derive results about Specht modules. In particular, we determine all homomorphisms from an arbitrary…
Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types
Alexander Kleshchev, Joseph Loubert
We prove that the Khovanov-Lauda-Rouquier algebras of finite type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property, namel…
Affine Cellularity of Khovanov-Lauda-Rouquier algebras in type A
Alexander S. Kleshchev, Joseph W. Loubert, Vanessa Miemietz
We prove that the Khovanov-Lauda-Rouquier algebras $R_\al$ of type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property,…
Proof of Han's Hook Expansion Conjecture
Kevin Carde, Joe Loubert, Aaron Potechin +1
We prove a conjecture by Guo-Niu Han which interpolates between two known hook expansion formulas.