4 problems

The classification conjecture for K-matrices on Kirillov–Reshetikhin modules
Kirillov–Reshetikhin K-matrix conjecture. Symmetrizable invertible solutions of the generalized spectral reflection equation in tensor products of Kirillov–Reshetikhin modules, wit…
openFrom paperskirillov-reshetikhin-modules quantum-symmetric-pairs reflection-equations
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4
The meromorphicity conjecture for spectral K-matrices
Meromorphicity conjecture. For all $V\in\mathcal{C}$ , not necessarily irreducible, and for generic quantum symmetric pair parameters, $K_V(z)$ is the Laurent series expansion of a…
openFrom papersmeromorphic-functions quantum-symmetric-pairs reflection-equations
0 responses
8
Parameter-inversion conjecture for universal K-matrices
Parameter-inversion conjecture. There exists $g\in(U_q\mathfrak h)^{\mathcal W,\times}$ such that this relation is satisfied. Consequently, $k_{Y,\eta}$ specializes to a solution o…
openFrom papersquantum-groups quantum-symmetric-pairs reflection-equations
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6
The generalized Satake diagram classification conjecture for reflection-equation solutions
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…
openFrom paperscoideal-subalgebras quantum-groups reflection-equations
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5

The classification conjecture for K-matrices on Kirillov–Reshetikhin modules