Denominator formula conjecture for KR modules in type E

Let dlp,km(z)d_{l^p,k^m}(z) denote the denominator of the normalized RR-matrix between the relevant Kirillov–Reshetikhin modules in untwisted affine type En(1)E_n^{(1)}. Denominator formula conjecture for type E. For untwisted affine type En(1)E_n^{(1)}, the denominator formulas are given by the formula referred to in the source as the normal form. The conjecture is based on computations and the denominator formulas established in the paper for the other nonexceptional types, G2(1)G_2^{(1)}, and D4(3)D_4^{(3)}; the precise normal-form equation is needed to state the formula explicitly.

Sources & referencesView supporting material

Primary source

Se-jin Oh and Travis Scrimshaw, “Simplicity of tensor products of Kirillov–Reshetikhin modules: nonexceptional affine and G types”, arXiv:1910.10347 (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.