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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study the Hopf algebra structure and the highest weight representation ofa multiparameter version of $U_{q}gl(2)$. The commutation relations as well asother Hopf algebra maps are explicitly given. We show that the multiparameteruniversal ${\cal R}$ matrix can be constructed directly as a quantum doubleintertwiner, without using Reshetikhin's transformation. An interesting featureautomatically appears in the representation theory: it can be divided into twotypes, one for generic $q$, the other for $q$ being a root of unity. Whenapplying the representation theory to the multiparameter universal ${\cal R}$matrix, the so called standard and nonstandard colored solutions $R(\mu,\nu;{\mu}', {\nu}')$ of the Yang-Baxter equation is obtained.Comment: [14]pages, latex, no figure

Colored solutions of the Yang–Baxter equation from representations of Uqgl(2)