3 problems

0 votes0 replies0 views
The classical Yang–Baxter conjecture for the limiting elliptic r-matrix
Let $N$ be the matrix size, let $z,w,z_1,z_2,z_3$ be spectral parameters, and let ${\bf r}_{12}(z,w)$ be the limiting skew-symmetric matrix defined by the formulas in the preceding…
Conjectureopenclassical-yang-baxter-equation elliptic-r-matrices integrable-systemsarXiv posted 2 days ago
0 votes0 replies1 view
Frenkel–Reshetikhin conjecture on traces of intertwiner products and elliptic r-matrix equations
Frenkel–Reshetikhin conjecture. Taking traces of products of intertwiners, rather than matrix elements, should produce solutions to the elliptic $r$ -matrix equations.
Conjectureopenelliptic-r-matrices integrable-systems intertwining-operatorsarXiv posted 2 days ago
0 votes0 replies0 views
Okounkov's monodromy formula for wall operators
Okounkov's wall-operator conjecture. The wall operator is given by
Conjectureopenelliptic-r-matrices quantum-difference-equations wall-crossingarXiv posted 2 days ago

The classical Yang–Baxter conjecture for the limiting elliptic r-matrix