On graded Cartan invariants of symmetric groups and Hecke algebras

DOI10.1007/s00209-016-1703-0zbMath1358.81127arXiv1503.00921OpenAlexW2963625967MaRDI QIDQ509990

Shunsuke Tsuchioka, Anton Evseev

Publication date: 16 February 2017

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.00921

zbMATH Keywords

Hecke algebrassymmetric groupsquantum groupsLie theorycategorificationKhovanov-Lauda-Rouquier algebrasmodular representation theorygeneralized blocksgraded representation theoryKülshammer-Olsson-Robinson conjecture

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Symmetric groups (20B30)

Cites Work

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• Combinatorics for graded Cartan matrices of the Iwahori-Hecke algebra of type \(A\)
• Elementary divisors of the Shapovalov form on the basic representation of Kac-Moody algebras
• Graded decomposition numbers for cyclotomic Hecke algebras.
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A course in constructive algebra
• A bijection for Lebesgue's partition identity in the spirit of Sylvester
• Generalized blocks for symmetric groups.
• Methods of graded rings.
• Matrices and pairs of modules
• Cartan determinants and Shapovalov forms
• Quiver Hecke Algebras and 2-Lie Algebras
• Automorphismes, graduations et catégories triangulées
• Cartan invariants of symmetric groups and Iwahori-Hecke algebras
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• A diagrammatic approach to categorification of quantum groups I
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• Graded Cartan determinants of the symmetric groups
• Generalised Cartan invariants of symmetric groups