Universal deformation rings of modules over Frobenius algebras.

DOI10.1016/j.jalgebra.2012.06.008zbMath1301.16013arXiv0911.1100OpenAlexW2090508720MaRDI QIDQ1947356

José A. Vélez-Marulanda, Frauke M. Bleher

Publication date: 22 April 2013

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.1100

zbMATH Keywords

Auslander-Reiten quiverssymmetric algebrasFrobenius algebrasuniversal deformation ringsspecial biserial algebrasstring modulesband modules

Mathematics Subject Classification ID

Modular representations and characters (20C20) Representations of quivers and partially ordered sets (16G20) Representations of associative Artinian rings (16G10)

Related Items (13)

String and band complexes over certain algebra of dihedral type ⋮ Large universal deformation rings ⋮ Deformations of complexes for finite dimensional algebras ⋮ Universal deformation rings and self-injective Nakayama algebras ⋮ Universal deformation rings of modules for generalized Brauer tree algebras of polynomial growth ⋮ Singular equivalences of Morita type with level, Gorenstein algebras, and universal deformation rings ⋮ On a deformation theory of finite dimensional modules over repetitive algebras ⋮ On deformations of Gorenstein-projective modules over Nakayama and triangular matrix algebras ⋮ A note on deformations of Gorenstein-projective modules over finite dimensional algebras ⋮ Universal deformation rings of strings modules over a certain symmetric special biserial algebra. ⋮ Universal deformation rings of modules for algebras of dihedral type of polynomial growth ⋮ Universal deformation rings of finitely generated Gorenstein-projective modules over finite dimensional algebras ⋮ Universal deformation rings of string modules over certain class of self-injective special biserial algebras

Cites Work

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• Maps between tree and band modules
• Problems from the Workshop on Automorphisms of Curves
• Blocks of tame representation type and related algebras
• Universal deformation rings and cyclic blocks
• Noncommutative deformations of modules
• Hochschild cohomology and derived Picard groups.
• Universal deformation rings and generalized quaternion defect groups.
• Universal deformation rings and Klein four defect groups
• Universal deformation rings and dihedral defect groups
• Auslander-reiten sequences with few middle terms and applications to string algebrass
• Change of rings in deformation theory of modules
• Deformation Theory of Modules
• Functors of Artin Rings
• Universal deformation rings need not be complete intersections
• Universal deformation rings need not be complete intersections

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