Electrical quantum groups

Abstract

We give a construction of electrical quantum group and its superpartner as coideal subalgebras in $U_q(\mathfrak{gl}(N))$ and, respectively, in $U^u_q(\mathfrak{gl}(1|N-1))$, where the latter is an "ungraded" (non-standard) quantum general linear supergroup. We derive them as quantum isotropy subgroups of triangular twisted K-matrices found in one of our recent papers.