Another runner removal theorem for \(v\)-decomposition numbers of Iwahori-Hecke algebras and \(q\)-Schur algebras.

DOI10.1016/j.jalgebra.2006.12.021zbMath1155.20006OpenAlexW1970632647MaRDI QIDQ876358

Matthew Fayers

Publication date: 18 April 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.12.021

zbMATH Keywords

partitionsquantum groups\(q\)-Schur algebrasdecomposition numberscanonical basesIwahori-Hecke algebrasFock space representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (7)

General runner removal and the Mullineux map. ⋮ ENUMERATION OF n-CONNECTED OMINOES INSCRIBED IN AN ABACUS ⋮ Parallelotope tilings and \(q\)-decomposition numbers ⋮ James's conjecture holds for blocks of \(q\)-Schur algebras of weights 3 and 4 ⋮ Comparing Fock spaces in types \(A^{(1)}A^{(2)}\) ⋮ James's conjecture holds for weight four blocks of Iwahori-Hecke algebras. ⋮ Runner Removal Morita Equivalences

Cites Work

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• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Equating decomposition numbers for different primes.
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• On the decomposition matrices of the quantized Schur algebra
• James's conjecture holds for weight four blocks of Iwahori-Hecke algebras.
• Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras

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