Algebras and quaternion defect groups. I, II

DOI10.1007/BF01456838zbMath0655.16011OpenAlexW4241223296MaRDI QIDQ1109111

Karin Erdmann

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164439

zbMATH Keywords

relationsfinite-dimensional algebrasCartan matrixgeneratorsgroup algebrablocksdecomposition numberstame algebraelementary divisorsordinary quiverquaternion defect groups

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representation theory of associative rings and algebras (16Gxx)

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Weighted surface algebras, On the number of simple modules of certain tame blocks and algebras, Derived equivalent tame blocks, Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup., Algebras of generalized quaternion type, Decomposition matrices over unitriangulars, On module variety dimension for coverings and degenerations of algebras., The representation type of Jacobian algebras, Derived equivalences for tame weakly symmetric algebras having only periodic modules., Hochschild cohomology of tame blocks., Cartan matrices of selfinjective algebras of tubular type, A cluster tilting module for a representation-infinite block of a group algebra, Periodicity of self-injective algebras of polynomial growth, Morita equivalence classes of $2$-blocks of defect three, Cohomology of \(\mathrm{PSL}_2(q)\), Derived equivalence classification of algebras of dihedral, semidihedral, and quaternion type, Sone remarks on eigeyvalues of the cartan matrix in finite groups, Cartan matrices for blocks of finite p-solvable groups with two simple modules

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