Spectral sequences for the classification of extensions of Hopf algebras (Q1364259)

The author constructs spectral sequences which provide a way to compute the cohomology theory that classifies extensions of graded connected Hopf algebras over a commutative ring \(R\). Specifically, for \((A,B)\) an abelian matched pair of graded connected \(R\)-Hopf algebras, he constructs a pair of spectral sequences relating \(H^*(B,A)\) to \(\text{Ext}_B^{*,*} (R, \text{Cotor}_A^{*,*} (R,R))\). He examines the special case of \(B\) a monogenic graded connected Hopf algebra.