The complex elements of the skew partition (12,6,3)/(1,0)

Sadeq, Adraa Abbas; Hassan, Haytham R.

doi:10.47974/JDMSC-2123

Open Access Research Article

The complex elements of the skew partition (12,6,3)/(1,0)

^*Adraa Abbas SadeqCorresponding authorathraa.a.s@uomustansiriyah.edu.iqGeneral Directorate of Education in Maysan Governorate, Ministry of EducationMaysan, IraqView full profile → , Haytham R. Hassanhaythamhassaan@uomustansiriyah.edu.iqDepartment of MathematicsCollege of ScienceMustansiriyah UniversityBaghdad, Iraq0000-0001-7361-9670View full profile →

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pp. 1167–1171Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2123 Crossmark XML

Received:: 03 Dec 2024
Published Online:: 26 Jun 2025
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2123
Pages:: 1167–1171

Abstract

Let ℱ be a free R-module, where R is a commutative ring with 1 and DnF is the nth degree divided by power. The place polarization technique is a combinatorial approach to computing complex elements. ∂(k)21 is a location polarization that occurs from place one to place two and ∂(k)32 is a location polarization that occurs from place two to place three. In this paper, we used the diagrams and divided power, together with their Capelli identities, to find the complex elements of the skew partition (12,6,3)/(1,0).

Keywords

Weyl module Divided power algebra Complex of Lascaux Divided power Capelli identity

Subject Classifications

12E1515B57

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