Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
From MaRDI portal
Publication:2365048
DOI10.1007/BF02621590zbMath0866.16004WikidataQ114233771 ScholiaQ114233771MaRDI QIDQ2365048
Publication date: 9 March 1997
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/174912
group algebrasblocksouter automorphism groupsgroup ringscyclic defect groupsstable equivalences of Morita type\(p\)-groupsstable module categoriesendotrivial modulesselfinjective algebrasprojective bimodulesrestricted Morita auto-equivalences
Module categories in associative algebras (16D90) (p)-adic representations of finite groups (20C11) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (54)
On the stable equivalences between finite tensor categories ⋮ Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group. ⋮ A note on stable equivalences of Morita type. ⋮ The stable Picard group of a local dihedral algebra ⋮ On Picard groups of blocks of finite groups ⋮ Broué's abelian defect group conjecture and 3-decomposition numbers of the sporadic simple Conway group \(Co_1\). ⋮ Broué's Abelian defect group conjecture for the sporadic simple Janko group \(J_4\) revisited. ⋮ Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability ⋮ The liftability question for stable equivalences between representation-finite self-injective algebras ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ On blocks with trivial source simple modules. ⋮ Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture. ⋮ On abelian subcategories of triangulated categories ⋮ The strengthened Broué abelian defect group conjecture for \(\mathrm{SL} (2,p^n)\) and \(\mathrm{GL} (2,p^n)\) ⋮ Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras ⋮ Stable auto-equivalences for local symmetric algebras ⋮ Perverse equivalences and Broué's conjecture. ⋮ Singular equivalences of commutative Noetherian rings and reconstruction of singular loci ⋮ Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups ⋮ Two-sided tilting complexes for Brauer tree algebras ⋮ The Broué conjecture for the faithful 3-blocks of 4.\(M_{22}\). ⋮ Gluing of idempotents, radical embeddings and two classes of stable equivalences. ⋮ Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups. ⋮ The principal \(3\)-blocks of four- and five-dimensional projective special linear groups in non-defining characteristic ⋮ Derived Picard groups of selfinjective Nakayama algebras ⋮ Relatively stable equivalences of Morita type for blocks ⋮ Stable categories and reconstruction ⋮ Orbit algebras that are invariant under stable equivalences of Morita type. ⋮ Geometry of chain complexes and outer automorphisms under derived equivalence ⋮ Broué's Abelian defect group conjecture holds for the Janko simple group \(J_4\). ⋮ Rouquier blocks in Chevalley groups of type \(E\). ⋮ DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9 ⋮ Simple-minded systems, configurations and mutations for representation-finite self-injective algebras ⋮ Graded Brauer tree algebras. ⋮ Derived equivalences for the 3-dimensional special unitary groups in non-defining characteristic ⋮ Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups. ⋮ On splendid derived and stable equivalences between blocks and finite groups ⋮ Perverse equivalence in \(SL(2,q)\) ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups ⋮ Construction of stable equivalences of Morita type for finite-dimensional algebras I ⋮ On stable equivalences induced by exact functors ⋮ The strong Frobenius numbers for cyclic defect blocks are equal to one ⋮ Integrable Derivations and Stable Equivalences of Morita Type ⋮ On Stable Equivalence of Tensor Products of Algebras ⋮ Constructions of stable equivalences of Morita type for finite dimensional algebras. II. ⋮ The derived categories of some blocks of symmetric groups and a conjecture of Broué ⋮ Equivalences of derived categories for symmetric algebras. ⋮ Broué's conjecture holds for principal 3-blocks with elementary Abelian defect group of order 9 ⋮ Torsion pairs and simple-minded systems in triangulated categories ⋮ Two-term tilting complexes and simple-minded systems of self-injective Nakayama algebras ⋮ Broué's conjecture for non-principal 3-blocks of finite groups ⋮ A new invariant of stable equivalences of Morita type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Derived equivalence for cyclic blocks over a \(p\)-adic ring
- Rigidity of \(p\)-adic \(p\)-torsion
- Duality in G-algebras
- Derived categories and stable equivalence
- Representation theory of artin algebras VI: A functorial approach to aimost split sequences
- Walking around the Brauer tree
- Derived Equivalences As Derived Functors
- Isomorphisms of p-adic group rings
This page was built for publication: Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
