Non-simply-laced fusion conjecture for Weyl modules

Let g{\mathfrak{g}} be a simple Lie algebra, let λ=λ1++λn\lambda=\lambda_1+\cdots+\lambda_n be a sum of dominant integral weights, and let c1,,cnc_1,\ldots,c_n be pairwise distinct complex numbers used to form the fusion product. Non-simply-laced Weyl-module fusion conjecture.

W(λ)W(λ1)W(λn).W(\lambda)\simeq W(\lambda_1)\ast\cdots\ast W(\lambda_n).

This extends the corresponding fusion-product result from simply laced Lie algebras to the non-simply-laced case; the source gives no resolution.

Sources & referencesView supporting material

Primary source

Ghislain Fourier and Peter Littelmann, “Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions”, arXiv:math/0509276 (2006).

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.