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

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 “triv...

Celý popis

Uložené v:

Podrobná bibliografia
Vydané v:	Discrete mathematics and theoretical computer science Ročník DMTCS Proceedings, 28th...
Hlavní autori:	Kvinge, Henry, Vazirani, Monica
Médium:	Journal Article Konferenčný príspevok..
Jazyk:	English
Vydavateľské údaje:	DMTCS 22.04.2020 Discrete Mathematics & Theoretical Computer Science
Predmet:	[math.math-co]mathematics [math]/combinatorics [math.co] Combinatorics Mathematics
ISSN:	1365-8050, 1462-7264, 1365-8050
On-line prístup:	Získať plný text
Tagy:	Pridať tag Žiadne tagy, Buďte prvý, kto otaguje tento záznam!

Popis
Shrnutí:	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.
ISSN:	1365-8050 1462-7264 1365-8050
DOI:	10.46298/dmtcs.6388