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 generic Gelfand-Tsetlin representations of the $\imath$quantumgroups $U_q^{\text{tw}}(\mathfrak{so}_3)$ and$U_q^{\text{tw}}(\mathfrak{so}_4)$. These representations areinfinite-dimensional analogs to the finite-dimensional irreduciblerepresentations provided by Gavrilik and Klimyk. They are quantum analogs ofgeneric Gelfand-Tsetlin representations constructed by Mazorchuk. We givesufficient conditions for irreducibility and provide an upper bound for thelength with the help of Casimir elements found by Molev, Ragoucy, and Sorba.

Generic Gelfand-Tsetlin Representations of $U_q^{\text{tw}}(\mathfrak{so}_3)$ and $U_q^{\text{tw}}(\mathfrak{so}_4)$