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https://doi.org/10.1016/j.jcta.2021.105494
Title: | Young's seminormal basis vectors and their denominators | Authors: | Fang, Ming Lim, Kay Jin Tan, Kai Meng |
Keywords: | math.RT math.RT 20C30 |
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: | Elements Staff Publications |
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