A note on decomposition numbers for general linear groups and symmetric groups

DOI10.1017/S0305004100062575zbMath0557.20005OpenAlexW2157260342MaRDI QIDQ3222356

Stephen Donkin

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0305004100062575

zbMATH Keywords

partitionssymmetric groupsreductive groupsdecomposition numbers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of finite symmetric groups (20C30)

Related Items

Symmetric group blocks of small defect., Resolutions of \(B\) modules, Ext spaces for general linear and symmetric groups, Composition factors of Specht modules for Hecke algebras of type \(A_n\)., Row and column removal theorems for homomorphisms of Specht modules and Weyl modules., A row removal theorem for the Ext¹ quiver of symmetric groups and Schur algebras, Higher Jones algebras and their simple modules, Good filtrations and strong \(F\)-regularity of the ring of \(U_P\)-invariants, Row and column removal theorems for homomorphisms between Specht modules., \(p\)-filtrations of dual Weyl modules, Linear groups and distance-transitive graphs, The integral isomorphism behind row removal phenomena for schur algebras, An analogue of row removal for diagrammatic Cherednik algebras, Row and column removal in the \(q\)-deformed Fock space.

Cites Work

• Moduln mit einem höchsten Gewicht
• On the decomposition matrices of the symmetric groups. III
• The representation theory of the symmetric groups
• A note on decomposition numbers for reductive algebraic groups