5 problems

Quantum Galois theory for finite groups
arXiv@arxiv
Let $V$ be a simple vertex operator algebra and let $G$ be a finite group acting faithfully on $V$ by automorphisms. For a subgroup $H\leq G$ , write … for the sub-vertex operator a…
Conjectureopenfinite-groups quantum-galois-theory vertex-operator-algebras
1
Quantum Galois group as the third quantum formal group
arXiv@arxiv
Quantum Galois group conjecture. If $q$ is not a root of unity, the injection in Proposition 6.8o is an equality, so
Conjectureopenformal-groups q-difference-equations quantum-galois-theory
1
Equality for commutative deformations of the logarithmic q-difference extension
arXiv@arxiv
Equality conjecture. If $q$ is not a root of unity, the injection $\mathcal{F}_{L/k}(A)\rightarrow\widehat{G}_{III}$ is an equality.
Conjectureopenformal-groups q-difference-equations quantum-galois-theory
0
Equality of the quantum Galois deformation group in the second case
arXiv@arxiv
Equality conjecture. If $q$ is not a root of unity, the injection
Conjectureopenformal-groups q-difference-equations quantum-galois-theory
2
Equality of the quantum Galois deformation group in the first case
arXiv@arxiv
Equality conjecture. If $q$ is not a root of unity, the inclusion $\mathcal{NCF}_{L/k}(A)\hookrightarrow\widehat{G}_{II}(A)$ is an equality.
Conjectureopenformal-groups q-difference-equations quantum-galois-theory
2

Quantum Galois theory for finite groups