Deformations and derived equivalences

DOI10.1090/S0002-9939-06-08269-4zbMath1097.20005MaRDI QIDQ5469211

Frauke M. Bleher

Publication date: 17 May 2006

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

finite groupsderived categoriesderived equivalencesblock algebrastilting complexesuniversal deformationsAbelian defect group conjectureversal deformation ringsbounded complexes of finitely generated modules

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (2)

Deformations of complexes for finite dimensional algebras ⋮ Universal deformation rings and dihedral defect groups

Cites Work

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• The Abelian defect group conjecture
• Universal deformation rings and cyclic blocks
• Modular elliptic curves and Fermat's Last Theorem
• Ring-theoretic properties of certain Hecke algebras
• The isomorphism problem for cyclic blocks and their source algebras
• On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
• Universal deformation rings and Klein four defect groups
• Derived Equivalences As Derived Functors
• Splendid Equivalences: Derived Categories and Permutation Modules
• Functors of Artin Rings
• Deformations and derived categories.
• Deformations and derived categories.
• On splendid derived and stable equivalences between blocks and finite groups

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