4 problems

Let ${\mathcal O}(S_q^{4n-1})$ be the coordinate algebra of the quantum symplectic sphere, with generators $x_j$ and $y_j$ and their involutive partners $x_j^*$ and $y_j^*$. For no…

Let $S_q^2$ be the Podleś quantum sphere, equipped with the compact quantum metric space structure arising from the Dąbrowski–Sitarz spectral triple, and let $S^2$ be the classical…

The even quantum sphere is represented by a base module $M$ for $U_q(\mathfrak{g})$, and for a finite-dimensional $U_q(\mathfrak{g})$-module $V$, irreducible submodules of…

Exhaustiveness conjecture for monomial spheres. The 10 monomial spheres in Theorem 2.5 are the only ones, regardless of the depth.