Gramain, Jean-BaptisteBrunat, OlivierJacon, Nicolas2024-01-102024-01-102023-04-15Gramain, J-B, Brunat, O & Jacon, N 2023, 'On unitriangular basic sets for symmetric and alternating groups', Journal of Algebra, vol. 620, pp. 257-292. https://doi.org/10.1016/j.jalgebra.2022.11.0360021-8693https://hdl.handle.net/2164/22518Acknowledgements The first and third authors acknowledge the support of the ANR grant GeRepMod ANR-16-CE40-0010-01. The third author is also supported by ANR project JCJC ANR-18-CE40-0001. The authors sincerely thank Gunter Malle for his precise reading of the paper and his helpful comments. Last, the authors warmly thank the referee for a lot of helpful comments and corrections on the paper.36859772engBasic setDecomposition matrix of the alternative groupsdecomposition matrix of the Hecke algebrasQA MathematicsQAJournal article10.1016/j.jalgebra.2022.11.036620