English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We construct by fusion product new irreducible representations of the quantumaffinization $U_q(\hat{sl}_\infty)$. The action is defined via the Drinfeldcoproduct and is related to the crystal structure of semi-standard tableaux oftype $A_\infty$. We call these representations extremal loop weight modules.The main motivations are applications to quantum toroidal algebras$U_q(sl_{n+1}^{tor})$: we prove the conjectural link between$U_q(\hat{sl}_\infty)$ and $U_q(sl_{n+1}^{tor})$ stated in [14] for this familyof representations. We recover in this way the extremal loop weight modulesobtained in [23].

Extremal loop weight modules for $U_q(\hat{sl}_\infty)$