5 problems

Let $(A,\Gamma)$ and $(B,\Sigma)$ be flat Hopf algebroids, and let a weak equivalence mean a morphism of flat Hopf algebroids inducing an equivalence between their comodule categor…

Let $E_*$ be the coefficient ring of Morava $E$-theory at height $n$, let $E_*E$ be its cooperations, and let $v_0=p,v_1,\ldots,v_{n-1}$ denote the usual periodicity elements. For…

Assume $p$ is sufficiently large with respect to $n$. Let $E$ be the height-$n$ theory in the source, let $I_{n-1}$ be the corresponding invariant ideal, and let $L_{n-1}$ and…

Let $\mathcal{A}_{ff}$ be the FRT algebra considered in the paper, and let a finite-dimensional comodule mean a finite-dimensional comodule over $\mathcal{A}_{ff}$. Power-of-two di…

Let $\widehat{SL_q(2)}$ be the quantum group defined in the paper, and let a type $\mathbf{1}$ comodule mean a comodule whose associated $\mathcal{T}$-comodule coaction acts semisi…