3 problems

Similarity conjecture for faithful irreducible representations with identical disjunctive trace identities
arXiv@arxiv
Let $G$ and $H$ be finite groups, and let $\rho$ and $sigma$ be faithful irreducible representations. A disjunctive trace identity is an identity obtained from a disjunction of gro…
Conjectureopenfinite-groups representation-theory trace-identities
0
Conjecture on the degree of integrality and number of traces
arXiv@arxiv
Conjecture 2. The degree of integrality in Conjecture 1 should be $m-1$ , and the number of traces in Conjecture 2 should be $m$ .
Conjectureopenintegrality symmetric-functions trace-identities
1
The universal symplectic determinant invariant theorem over rings with 2 invertible
arXiv@arxiv
Universal symplectic determinant invariant conjecture. The canonical map is an isomorphism over every such ring $A$ :
Conjectureopeninvariant-theory symplectic-groups trace-identities
0

Similarity conjecture for faithful irreducible representations with identical disjunctive trace identities