3 problems

Generalized Satake diagram classification conjecture. 1. If $K\in\operatorname{GL}(V)$ is a solution of the matrix reflection equation, then there exists a generalized Satake diagr…

Generalized Satake diagram classification conjecture. All such coideal subalgebras of $U_q(\mathfrak g)$ arise from generalized Satake diagrams.

Let $n$ be odd. The Kac algebra $K\!D(n)$ has lattice of coideal subalgebras $\operatorname{l}(K\!D(n))$, described in Theorem theorem.lattice.nodd, with an exceptional set…