Diagrams for modules

DOI10.1016/0022-4049(80)90010-9zbMath0425.16027OpenAlexW2012894776MaRDI QIDQ1135341

J. L. Alperin

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90010-9

zbMATH Keywords

finitely generated modulefinite dimensional algebracomposition seriessimple composition factorsmodule diagrammodule space

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Representation theory of associative rings and algebras (16Gxx)

Related Items (36)

The structure of certain highest weight modules for \(SL_ 3\) ⋮ Finitistic dimensions of serial-like rings ⋮ Algebras from diagrams ⋮ Degenerate principal series representations of \(\text{Sp}(p,q)\) ⋮ The relative Heller operator and relative cohomology for the Klein 4-group ⋮ Projective resolutions and Yoneda algebras for algebras of dihedral type. ⋮ Degenerate principal series and local theta correspondence. II ⋮ The lattice of submodules of a multiplicity-free module ⋮ New incompressible symmetric tensor categories in positive characteristic ⋮ Radically filtered quasi-hereditary algebras and rigidity of tilting modules ⋮ Decomposable Specht modules indexed by bihooks. II ⋮ Left–right symmetry of finite finitistic dimension ⋮ Metabelian Lie powers of the natural module for a general linear group ⋮ Degenerate principal series and local theta correspondence ⋮ Strong module diagrams and frobenius diagram algebras ⋮ Constructing minimal \(\mathcal P^{<\infty}\)-approximations over left serial algebras. ⋮ Connectedness of cup products for polynomial representations of \(\mathrm{GL}_n\) and applications ⋮ Degenerate principal series and local theta correspondence. III: The case of complex groups ⋮ Endomorphism rings of modules and lattices of submodules ⋮ Projective modules for the group of twenty-seven lines on a cubic suface ⋮ Degenerate principal series representations for quaternionic unitary groups ⋮ Symmetric tensor categories in characteristic 2 ⋮ Homological domino effects and the first finitistic dimension conjecture ⋮ Irreducible restrictions of representations of symmetric groups in small characteristics: reduction theorems ⋮ Support varieties for modules over Chevalley groups and classical Lie algebras ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ Howe quotients of unitary characters and unitary lowest weight modules ⋮ Representations of pointed Hopf algebras and their Drinfel'd quantum doubles. ⋮ Diagrammatic methods for modular representations and cohomology ⋮ Diagrams and discrete extensions for finitary 2-representations ⋮ Unnamed Item ⋮ Modules ⋮ The derived categories of some blocks of symmetric groups and a conjecture of Broué ⋮ Diagrams for modular lattices ⋮ Filtrations of the modules for Chevalley groups arising from admissible lattices ⋮ Field-dependent homological behavior of finite dimensional algebras

Cites Work

• The Structure of the Group Ring of a p-Group Over a Modular Field

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