Completely splittable representations of symmetric groups and affine Hecke algebras.

DOI10.1016/j.jalgebra.2006.05.023zbMath1105.20010OpenAlexW2002979755MaRDI QIDQ855978

Oliver Ruff

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.05.023

zbMATH Keywords

symmetric groupsaffine Hecke algebrascompletely splittable modulescalibrated modules

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (12)

Unitary representations of type B rational Cherednik algebras and crystal combinatorics ⋮ MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH ⋮ Irreducible representations of the symmetric groups from slash homologies of \(p\)-complexes ⋮ Zelevinsky involution and degenerate affine Hecke-Clifford algebras ⋮ Irreducible calibrated representations of periplectic Brauer algebras and hook representations of the symmetric group ⋮ Poset structure concerning cylindric diagrams ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS ⋮ Homogeneous representations of Khovanov-Lauda algebras. ⋮ Jack polynomials as fractional quantum Hall states and the Betti numbers of the \((k+1)\)-equals ideal ⋮ Completely splittable representations of affine Hecke-Clifford algebras. ⋮ On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras ⋮ Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.

Cites Work

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• A new approach to representation theory of symmetric groups
• Littlewood-Richardson coefficients for Hecke algebras at roots of unity
• An analogue of the character formula for Hecke algebras
• The representation theory of the symmetric groups
• Fibonacci representations of the symmetric groups
• Affine Hecke algebras and generalized standard Young tableaux.
• Completely splittable representations of symmetric groups
• Some combinatorial results involving Young diagrams
• Zelevinsky's involution at roots of unity
• Branching Rules for Modular Representations of Symmetric Groups III: Some Corollaries and a Problem of Mullineux
• Strong multiplicity one theorems for affine Hecke algebras of type \(A\).

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