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The pseudo-div H-type prolongation conjecture
Let $(\mathfrak n,\langle\cdot\mid\cdot\rangle)$ be a pseudo $H$ -type Lie algebra, and let its associated FGLA have a prolongation. A prolongation is nontrivial when it is not the…
Conjectureopengraded-lie-algebras prolongations pseudo-h-type-lie-algebrasarXiv posted 2 days ago
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The second-prolongation invariant-count conjecture for differential equations defined by vector fields
Second-prolongation invariant-count conjecture. For any value $n$ of independent variables, the number of functionally independent invariants of the second prolongation of $G$ is
Conjectureopendifferential-invariants prolongations vector-fieldsarXiv posted 2 days ago

The pseudo-div H-type prolongation conjecture