Journal article
Universal deformation rings and self-injective Nakayama algebras
Journal of Pure and Applied Algebra, Vol.223(1), pp.218-244
2019
DOI: 10.1016/j.jpaa.2018.03.008
Abstract
Let k be a field and let Λ be an indecomposable finite dimensional k -algebra such that there is a stable equivalence of Morita type between Λ and a self-injective split basic Nakayama algebra over k . We show that every indecomposable finitely generated Λ-module V has a universal deformation ring R ( Λ , V ) and we describe R ( Λ , 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.
Details
- Title: Subtitle
- Universal deformation rings and self-injective Nakayama algebras
- Creators
- Frauke M BleherDaniel J Wackwitz
- Resource Type
- Journal article
- Publication Details
- Journal of Pure and Applied Algebra, Vol.223(1), pp.218-244
- DOI
- 10.1016/j.jpaa.2018.03.008
- ISSN
- 0022-4049
- eISSN
- 1873-1376
- Grant note
- DOI: 10.13039/100000001, name: NSF, award: DMS-1360621
- Language
- English
- Date published
- 2019
- Academic Unit
- Mathematics
- Record Identifier
- 9983985988502771
Metrics
41 Record Views