3 problems

Pfaffian generator conjecture. A Pfaffian generator exists if and only if either ${\mathscr{Y}}_{N,\ell}^{+}(\sigma)$ has $N$ even and $\ell$ odd, or…

Center conjecture. The assertion that the centers of ${\mathscr{Y}}_{N,\ell}^{\pm}(\sigma)$ are polynomial algebras in distinguished generators should hold without the stated assum…

Dirac reduction conjecture. The Dirac reduction with parameter $\beta=-1$ should be Poisson isomorphic to