Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.jcta.2021.105494
 Title: Young's seminormal basis vectors and their denominators Authors: Fang, MingLim, Kay Jin Tan, Kai Meng Keywords: math.RTmath.RT20C30 Issue Date: Nov-2021 Publisher: Elsevier BV Citation: Fang, Ming, Lim, Kay Jin, Tan, Kai Meng (2021-11). Young's seminormal basis vectors and their denominators. Journal of Combinatorial Theory, Series A 184 : 105494-105494. ScholarBank@NUS Repository. https://doi.org/10.1016/j.jcta.2021.105494 Abstract: We study Young's seminormal basis vectors of the dual Specht modules of the symmetric group, indexed by a certain class of standard tableaux, and their denominators. These vectors include those whose denominators control the splitting of the canonical morphism $\Delta(\lambda+\mu) \to \Delta(\lambda) \otimes \Delta(\mu)$ over $\mathbb{Z}_{(p)}$, where $\Delta(\nu)$ is the Weyl module of the classical Schur algebra labelled by $\nu$. Source Title: Journal of Combinatorial Theory, Series A URI: https://scholarbank.nus.edu.sg/handle/10635/226583 ISSN: 0097-3165 DOI: 10.1016/j.jcta.2021.105494 Appears in Collections: ElementsStaff Publications

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