Alice Dell'Arciprete

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math.RT2026

Empty runner removal theorem for Ariki-Koike algebras

Alice Dell'Arciprete, Lorenzo Putignano

For the Iwahori-Hecke algebras of type $A$ , James and Mathas proved a theorem which relates $v$ -decomposition numbers for different values of $e$ , by adding empty runners to the Ja…

math.RT2026

A Note on Scopes Equivalences for Ariki--Koike Algebras as Categorical Actions

Alice Dell'Arciprete, Dinushi Munasinghe

A categorical action of a Kac--Moody algebra $g$ is built on a category $C$ decomposed according to the weights $P$ of $g$ , as well as biadjoint end…

math.RT2024

Faithful covers of Khovanov arc algebras

Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3

We show that the extended Khovanov algebra $K_{n}^{m}$ is an $(∣ n - m ∣ - 1)$ -faithful cover of the Khovanov arc algebra $H_{n}^{m}$ .

math.RT2024

Quiver presentations and Schur--Weyl duality for Khovanov arc algebras

Chris Bowman, Maud De Visscher, Alice Dell'Arciprete +3

We provide an $Ext$ -quiver and relations presentation of the Khovanov arc algebras and prove a precise analogue of the Kleshchev--Martin conjecture in this setting.

math.RT2024

Full runner removal theorem for Ariki-Koike algebras

Alice Dell'Arciprete

We consider the representation theory of the Ariki-Koike algebra, a $q$ -deformation of the group algebra of the complex reflection group $C_{r} ≀ S_{n}$ . We define the addition of a…