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Fomin–Kirillov finite-dimensional Hilbert-series conjecture for $\mathcal E_6$
Fomin–Kirillov's conjecture. If $\mathcal E_6$ is finite-dimensional, then its top form is unique and its Hilbert series has a symmetric increasing and decreasing form.
Conjectureopenbraided-groups hilbert-series noncommutative-algebraarXiv posted 2 days ago

Fomin–Kirillov finite-dimensional Hilbert-series conjecture for E6\mathcal E_6E6​