DOAJ Open Access 2020

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

Henry Kvinge Monica Vazirani

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (2)

Henry Kvinge

Monica Vazirani

Format Sitasi

APA MLA BibTeX

Kvinge, H., Vazirani, M. (2020). Categorifying the tensor product of the Kirillov-Reshetikhin crystal B1,1 and a fundamental crystal. https://doi.org/10.46298/dmtcs.6388

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.6388

Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.6388
Akses: Open Access ✓