Abstract Let\(G_n\) be an inner form of a general linear group over a non-Archimedean local
field. We fix an arbitrary irreducible representation\(\sigma\) of\(G_n\). Building on the work of …

Let $ F $ be a non-Archimedean field. A sequence of derivatives of generalized Steinberg
representations can be used to construct simple quotients of Bernstein-Zelevinsky …

We clarify the links between the graded Specht construction of modules over cyclotomic
Hecke algebras and the Robinson-Schensted-Knuth (RSK) construction for quiver Hecke …

Let $ G_n=\mathrm {GL} _n (F) $ be the general linear group over a non-Archimedean local
field $ F $. We formulate and prove a necessary and sufficient condition on determining …

Let $ G_n $ be an inner form of the general linear group over a non-Archimedean field $ F $.
For a $\square $-irreducible representation $\sigma $ of $ G_n $ and an irreducible …

In this paper we prove a conjecture of Kudla and Rallis. Let $\chi $ be a unitary character, $
s\in\mathbb {C} $ and $ W $ a symplectic vector space over a non-archimedean field with …

In this paper, we study multiplication formula of $ F $-polynomial of representations of
Hernandez and Leclerc's quivers with potentials. Since the truncated $ q $-characters of …

In this paper, we study extension groups of determinantal modules over a preprojective
algebra using the Auslander-Reiten translation of the quiver associated with it. More …

In this paper, we study the product of two simple modules over KLR algebras using the
quiver Grassmannians for Dynkin quivers. More precisely, we establish a bridge between …

Background. Cluster algebras, invented [FZ02] by Sergey Fomin and Andrei Zelevinsky
around the year 2000, are commutative algebras whose generators, the cluster variables …