Universal deformation rings of modules for algebras of dihedral type of polynomial growth
Abstract
Let k be an algebraically closed field, and let \Lambda\ be an algebra of dihedral type of polynomial growth as classified by Erdmann and Skowroński. We describe all finitely generated \Lambda-modules V whose stable endomorphism rings are isomorphic to k and determine their universal deformation rings R(\Lambda,V). We prove that only three isomorphism types occur for R(\Lambda,V): k, k[[t]]/(t^2) and k[[t]].
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2012
- DOI:
- 10.48550/arXiv.1209.0181
- arXiv:
- arXiv:1209.0181
- Bibcode:
- 2012arXiv1209.0181B
- Keywords:
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- Mathematics - Representation Theory;
- 16G10;
- 16G20
- E-Print:
- 11 pages, 2 figures