Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Discrete Mathematics and Theoretical Computer Science Année : 2020

Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal

Résumé

We use Khovanov-Lauda-Rouquier (KLR) algebras to categorify a crystal isomorphism between a funda-mental crystal and the tensor product of a Kirillov-Reshetikhin crystal and another fundamental crystal, all in affine type. The nodes of the Kirillov-Reshetikhin crystal correspond to a family of “trivial” modules. The nodes of the fun-damental crystal correspond to simple modules of the corresponding cyclotomic KLR algebra. The crystal operators correspond to socle of restriction and behave compatibly with the rule for tensor product of crystal graphs.
Fichier principal
Vignette du fichier
final_159.pdf (344.76 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-02168130 , version 1 (28-06-2019)

Identifiants

Citer

Henry Kvinge, Monica Vazirani. Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal. 28-th International Conference on Formal Power Series and Algebraic Combinatorics, Simon Fraser University, Jul 2016, Vancouver, Canada. ⟨10.46298/dmtcs.6388⟩. ⟨hal-02168130⟩
15 Consultations
424 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More