Young's seminormal basis vectors and their denominators
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 Δ(λ+μ) → Δ(λ)⊗Δ(μ) over Z(p), where Δ(ν...
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sg-ntu-dr.10356-1598062024-12-16T15:35:38Z Young's seminormal basis vectors and their denominators Fang, Ming Lim, Kay Jin Tan, Kai Meng School of Physical and Mathematical Sciences Mathematical Sciences Symmetric group Dual specht module 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 Δ(λ+μ) → Δ(λ)⊗Δ(μ) over Z(p), where Δ(ν) is the Weyl module of the classical Schur algebra labelled by ν. Ministry of Education (MOE) Submitted/Accepted version The first author is supported by National Key R&D Program of China 2020YFA0712600 and Natural Science Foundation of China No. 11688101, while the second and third authors are supported by Singapore MOE AcRF RG17/20 and R-146-000-317-114 respectively. 2022-07-04T01:54:37Z 2022-07-04T01:54:37Z 2021 Journal Article Fang, M., Lim, K. J. & Tan, K. M. (2021). Young's seminormal basis vectors and their denominators. Journal of Combinatorial Theory, Series A, 184, 105494-. https://dx.doi.org/10.1016/j.jcta.2021.105494 0097-3165 https://hdl.handle.net/10356/159806 10.1016/j.jcta.2021.105494 184 105494 en RG17/20 Journal of Combinatorial Theory, Series A © 2021 Elsevier Inc. All rights reserved. This article may be downloaded for personal use only. Any other use requires prior permission of the copyright holder. The Version of Record is available online at http://doi.org/10.1016/j.jcta.2021.105494. application/pdf |
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Mathematical Sciences Symmetric group Dual specht module |
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Mathematical Sciences Symmetric group Dual specht module Fang, Ming Lim, Kay Jin Tan, Kai Meng Young's seminormal basis vectors and their denominators |
| description |
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 Δ(λ+μ) → Δ(λ)⊗Δ(μ) over Z(p), where Δ(ν) is the Weyl module of the classical Schur algebra labelled by ν. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Fang, Ming Lim, Kay Jin Tan, Kai Meng |
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Article |
| author |
Fang, Ming Lim, Kay Jin Tan, Kai Meng |
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Fang, Ming |
| title |
Young's seminormal basis vectors and their denominators |
| title_short |
Young's seminormal basis vectors and their denominators |
| title_full |
Young's seminormal basis vectors and their denominators |
| title_fullStr |
Young's seminormal basis vectors and their denominators |
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Young's seminormal basis vectors and their denominators |
| title_sort |
young's seminormal basis vectors and their denominators |
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2022 |
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https://hdl.handle.net/10356/159806 |
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