An Interpretation of the Lascoux–Leclerc–Thibon Algorithm and Graded Representation Theory

DOI10.1080/00927870903386536zbMath1214.20006arXiv0910.5940OpenAlexW1982058533MaRDI QIDQ3079293

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Publication date: 2 March 2011

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

Full work available at URL: https://arxiv.org/abs/0910.5940

zbMATH Keywords

Hecke algebrasrepresentations of symmetric groupsirreducible modulesdecomposition numbersLascoux-Leclerc-Thibon algorithmgraded characters of Specht 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 (4)

MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH ⋮ Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras ⋮ Kleshchev’s decomposition numbers for diagrammatic Cherednik algebras ⋮ Kronecker positivity and 2-modular representation theory

Cites Work

• Graded decomposition numbers for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• Representations of the symmetric groups over the field of order 2
• On the decomposition matrices of the symmetric groups. II
• The representation theory of the symmetric groups
• Cyclotomic \(q\)-Schur algebras
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• A diagrammatic approach to categorification of quantum groups I
• Representations of Hecke Algebras of General Linear Groups
• Some Results Obtained by Application of the LLT Algorithm

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