\(p\)-adic lifting problems and derived equivalences.
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Publication:713394
DOI10.1016/j.jalgebra.2012.01.015zbMath1276.16008arXiv1102.1674OpenAlexW2085841054MaRDI QIDQ713394
Publication date: 29 October 2012
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1102.1674
ordersgroup algebrasderived equivalencesintegral representations\(p\)-modular systemstilting complexestame blocksdihedral defect groups
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Orders in separable algebras (16H10) Integral representations of infinite groups (20C12)
Related Items (8)
Blocks with a generalized quaternion defect group and three simple modules over a 2-adic ring. ⋮ Morita equivalence classes of tame blocks of finite groups ⋮ Brauer’s generalized decomposition numbers and universal deformation rings ⋮ On Tate duality and a projective scalar property for symmetric algebras ⋮ The \(p\)-adic group ring of \(\mathrm{SL}_2(p^f)\). ⋮ Universal deformation rings and tame blocks ⋮ REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED ⋮ Bijections of silting complexes and derived Picard groups
Cites Work
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- Universal deformation rings and dihedral blocks with two simple modules.
- Lifting theorems for tilting complexes
- Blocks of tame representation type and related algebras
- Tilted symmetric orders are symmetric orders
- A derived equivalence for blocks with dihedral defect groups
- Derived equivalent tame blocks
- Derived equivalences for group rings
- Degenerations for derived categories
- Geometry of chain complexes and outer automorphisms under derived equivalence
- Morita Theory for Derived Categories
- On the integral basis of the maximal real subfield of a cyclotomic field.
- Derived Equivalences As Derived Functors
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