| Abstract: |
| The i-quantum groups arising from quantum symmetric pairs are significant generalizations of quantum groups. In this talk, I will present a cluster realization of i-quantum groups, specifically an algebra embedding of an i-quantum group into a quantum cluster algebra. This embedding allows fundamental constructions of i-quantum groups to be interpreted within a cluster-theoretic framework. As an application, we derive a (dual) integral form of the i-quantum group that is invariant under braid group symmetries. |
|