Tensor products and dimensions of simple modules for symmetric groups

DOI10.1007/BF02567828zbMath0849.20008OpenAlexW2008713774MaRDI QIDQ1911552

Karin Erdmann

Publication date: 3 November 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156133

zbMATH Keywords

generating functionssymmetric groupsChebyshev polynomialsrational functionssimple modulesdimensions\(p\)-regular partitionsexplicit expressionsexplicit formulaerecursive formulaemultiplicities of direct summands

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30)

Related Items

Branching rules for two row partitions and applications to the inductive systems for symmetric groups ⋮ Simple modules for Temperley-Lieb algebras and related algebras ⋮ Irreducible representations of the symmetric groups from slash homologies of \(p\)-complexes ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ Chebyshev polynomials on symmetric matrices ⋮ Schur-Weyl duality for infinitesimal \(q\)-Schur algebras \(s_q(2,r)_1\). ⋮ On bases of some simple modules of symmetric groups and Hecke algebras ⋮ Multiplicities of second cell tilting modules. ⋮ On modular homology in the Boolean algebra. III ⋮ MODULAR BRANCHING RULES FOR 2-COLUMN DIAGRAM REPRESENTATIONS OF GENERAL LINEAR GROUPS ⋮ On vertices of completely splittable modules for symmetric groups and simple modules labelled by two part partitions ⋮ Connections between the representations of the symmetric groups and the symplectic group in characteristic \(2\) ⋮ Lie powers of the natural module for \(\text{GL}(2)\)

Cites Work

• Representations of the symmetric groups over the field of order 2
• On the decomposition matrices of the symmetric groups. I
• On tilting modules for algebraic groups
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item