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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

The $\mathrm{A}_2$ Bailey chain of Andrews, Schilling and the author isextended to a four-parameter $\mathrm{A}_2$ Bailey tree. As main application ofthis tree, we prove the Kanade-Russell conjecture for a three-parameter familyof Rogers-Ramanujan-type identities related to the principal characters of theaffine Lie algebra $\mathrm{A}_2^{(1)}$. Combined with known $q$-seriesresults, this further implies an $\mathrm{A}_2^{(1)}$-analogue of thecelebrated Andrews-Gordon $q$-series identities. We also use the $\mathrm{A}_2$Bailey tree to prove a Rogers-Selberg-type identity for the characters of theprincipal subspaces of $\mathrm{A}_2^{(1)}$ indexed by arbitrary level-$k$dominant integral weights $\lambda$. This generalises a result of Feigin,Feigin, Jimbo, Miwa and Mukhin for $\lambda=k\Lambda_0$.

An $\mathrm{A}_2$ Bailey tree and $\mathrm{A}_2^{(1)}$ Rogers-Ramanujan-type identities