5 problems

Completeness conjecture for trace invariants of a six-dimensional 3-form
arXiv@arxiv
Completeness conjecture. The invariant $y_3^{(4)}$ should satisfy a polynomial relation involving the $x$ variables.
Conjectureopendifferential-forms invariant-theory tensor-invariants
1
The form of trivial tensor invariants of type $(p,p)$
arXiv@arxiv
Let $T(x)$ be a trivial tensor invariant of type $(p,p)$ on an $n$ -dimensional manifold, where $S_p$ is the symmetric group on $p$ elements and $c_{\sigma}$ are constants. Tensor-i…
Conjectureopendifferential-geometry dynamical-systems tensor-invariants
2
Independence and completeness conjecture for invariants of two symmetric matrices
arXiv@arxiv
Independence and completeness conjecture. The explicit set of invariants constructed from $M^{\alpha \beta}$ and $N_{\alpha \beta}$ is independent and complete.
Conjectureopeninvariant-theory matrix-invariants tensor-invariants
1
Nonvanishing conjecture for minimal generic tensor invariants
arXiv@arxiv
Let $ell,m,ntransactionin eq 0$ ?
Conjectureopenrepresentation-theory tensor-invariants
0
Seven-invariant conjecture for symmetric third-order tensors
arXiv@arxiv
Seven-invariant conjecture. If $\mathcal{A}\in T(\mathbb{H})$ is symmetric, then it has seven independent invariants.
Conjectureopenquaternionic-tensors symmetric-tensors tensor-invariants
0

Completeness conjecture for trace invariants of a six-dimensional 3-form