2 problems

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Freeness conjecture for the primitive Lie algebra of free quasi-symmetric functions
Let ${\mathcal L}^{(l)}$ be the primitive Lie algebra of ${\bf FQSym}^{(l)}$ , the Hopf algebra of free quasi-symmetric functions of level $l$ . Freeness conjecture. As in the cited…
Conjectureopenfree-quasi-symmetric-functions hopf-algebrasarXiv posted 2 days ago
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Triangularity conjecture for the sharp-transformed S basis of FQSym
Triangularity conjecture. The matrix of ${{\bf S}^\sigma}^\sharp$ in the ${\bf S}$ basis is triangular. Its diagonal values are $1$ for elements of $X_n$ and $0$ for elements of…
Conjectureopencombinatorial-hopf-algebras free-quasi-symmetric-functionsarXiv posted 3 days ago

Freeness conjecture for the primitive Lie algebra of free quasi-symmetric functions