Monodromy quantum group isomorphism conjecture
Monodromy quantum group isomorphism conjecture
Let be a quiver, let be the MO geometric quantum affine algebra, let be the corresponding quantum affine algebra, and let and be the root subalgebra and its corresponding algebra associated with a parameter .
Monodromy quantum group isomorphism conjecture. There are isomorphisms of algebras
These isomorphisms are used to relate the MO quantum affine algebra and its root subalgebras to the algebras arising in the construction of the quantum difference equation. The source does not state whether this conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Tianqing Zhu, “Quantum difference equation for the affine type A quiver varieties I: General Construction”, arXiv:2308.00550 (2024).
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