4 problems

Dixmier–Moeglin conjecture for pointed Hopf algebras. The following conditions are equivalent:

Let $G$ be a semisimple Lie group, and let ${\mathcal O}_q(G)$ and ${\mathcal O}(G)$ denote its quantized and classical coordinate rings, respectively. The topological Dixmier–Moeg…

Let $H$ be an affine noetherian pointed Hopf $\mathbb{C}$-algebra, and let $G(H)$ denote its group of grouplike elements. The pointed Dixmier–Moeglin equivalence conjecture. The fo…

A Poisson-Hopf $k$-algebra is a Poisson $k$-algebra equipped with a Hopf algebra structure such that the Hopf operations are compatible with the Poisson bracket. The Poisson Dixmie…