Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897254 | Journal of Pure and Applied Algebra | 2019 | 27 Pages |
Abstract
Let k be a field and let Î be an indecomposable finite dimensional k-algebra such that there is a stable equivalence of Morita type between Î and a self-injective split basic Nakayama algebra over k. We show that every indecomposable finitely generated Î-module V has a universal deformation ring R(Î,V) and we describe R(Î,V) explicitly as a quotient ring of a power series ring over k in finitely many variables. This result applies in particular to Brauer tree algebras, and hence to p-modular blocks of finite groups with cyclic defect groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Frauke M. Bleher, Daniel J. Wackwitz,