The affine infinite-product factorization conjecture for universal K-matrices

About 2 years old · traced to

Let Υ\Upsilon be the universal K-matrix associated with an affine quantum symmetric pair, and let the quasi-RR-matrix be the corresponding universal quasi-RR-matrix of a quantum affine algebra or Yangian. An infinite-product factorization is a factorization of Υ\Upsilon as an infinite ordered product of factors analogous to the corresponding factorization of the quasi-RR-matrix.

Affine factorization conjecture. In affine type, Υ\Upsilon admits an infinite-product factorization analogous to such a factorization of the quasi-RR-matrix of quantum affine algebras and Yangians.

The conjecture is motivated by the absence of explicit universal K-matrix formulae in the affine case and by the abelian behavior in restricted rank one. The source does not state that this factorization has been proved.

References

Primary source

Andrea Appel and Bart Vlaar, “Boundary transfer matrices arising from quantum symmetric pairs”, arXiv:2410.21654 (2025).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.