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

This is the first of two papers on quasi-split affine quantum symmetric pairs$\big(\widetilde{\mathbf U}(\widehat{\mathfrak g}), \widetilde{{\mathbfU}}^\imath \big)$, focusing on the real rank one case, i.e., $\mathfrak{g}=\mathfrak{sl}_3$ equipped with a diagram involution. We construct explicitly arelative braid group action of type $A_2^{(2)}$ on the affine $\imath$quantumgroup $\widetilde{{\mathbf U}}^\imath$. Real and imaginary root vectors for$\widetilde{{\mathbf U}}^\imath$ are constructed, and a Drinfeld typepresentation of $\widetilde{{\mathbf U}}^\imath$ is then established. Thisprovides a new basic ingredient for the Drinfeld type presentation of higherrank quasi-split affine $\imath$quantum groups in the sequel.

Braid group action and quasi-split affine $\imath$quantum groups I