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Title: Young's seminormal basis vectors and their denominators
Authors: Fang, Ming
Lim, Kay Jin 
Tan, Kai Meng 
Keywords: math.RT
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.
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
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2021.105494
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