Spectral sequences for the classification of extensions of Hopf algebras

[摘要] We construct spectral sequences which provide a way to compute the cohomology theory that classifies extensions of graded connected Hopf algebras over a commutative ring as described by William M. Singer. Specifically, for (A,B) an abelian matched pair of graded connected R-Hopf algebras, we construct a pair of spectral sequences relating H*(B,A) to Ext*(B)*(R,Cotor*(A)*(R,R)). To illustrate these spectral sequences, we examine the special case of B a monogenic graded connected Hopf algebra and also analyze an extension of Hopf algebras given by James P. Lin. (C) 1997 Academic Press.

[发布日期] 1997-07-01