 

Alan Koch
Height one Hopf algebras in low ramification


Published: 
December 31, 2004 
Keywords: 
Hopf algebras, Honda systems 
Subject: 
16W, 57T, 14L 


Abstract
Let k be a perfect field of characteristic p>0. We obtain a
complete classification of finite abelian local kHopf algebras
with local dual such that the augmentation ideal is annihilated by
the Frobenius map. We then use the theory of finite Honda systems
to show that these Hopf algebras lift to extensions R of W(k)
with 2≦ e(R/W(k))≦ p1, and construct all such lifts.


Author information
Department of Mathematics, Agnes Scott College, 141 E. College Ave., Decatur, GA 30033
akoch@agnesscott.edu

