Algebras and Semidihedral Defect Groups II

DOI10.1112/plms/s3-60.1.123zbMath0687.20006OpenAlexW4238781522MaRDI QIDQ4205623

Karin Erdmann

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1112/plms/s3-60.1.123

zbMATH Keywords

Cartan matrixsimple modulesindecomposable projective modulesdecomposition matrixstable Auslander-Reiten quiverAuslander-Reiten graphsMorita equivalence classessemidihedral defect group2- blocksindecomposable finite dimensional algebrasemidihedral type block algebras

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)

Related Items (10)

Derived equivalent tame blocks ⋮ Morita equivalence classes of tame blocks of finite groups ⋮ Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. ⋮ Complete intersections and mod \(p\) cochains ⋮ Finite-dimensional algebras not arising as blocks of group algebras ⋮ Hochschild cohomology of tame blocks. ⋮ Low-dimensional representations of special unitary groups ⋮ The Brauer characters of the sporadic simple Harada–Norton group and its automorphism group in characteristics 2 and 3 ⋮ Hochschild cohomology for algebras of semidihedral type. VIII: The family \(SD (2\mathcal{B})_1\) ⋮ Two-sided tilting complexes for Gorenstein orders

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