Archive for November, 2007
Finite Block Theory and Hopf Algebra Actions
by Bergen, Jeffrey; Grzeszczuk, Piotr
A ring is said to have finite block theory if it can be written as the finite direct sum of indecomposable subrings. In the paper, algebras R are acted on by Hopf algebras H. We prove a series of going up and going down results analyzing when R and its subalgebra of invariants R
H
have finite block theory. We also provide counterexamples when the hypotheses of our main results are weakened.
DOI: 10.1007/s10468-007-9082-1
Online Date: 11/14/2007
Print publication date: 3/1/2008
View article on SpringerLink
