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

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).

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Publication Details

Journal
Journal of Discrete Mathematical Sciences and Cryptography
Published
2025-01-01
DOI
https://doi.org/10.47974/jdmsc-2123
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
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article

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

Haytham R. Hassan, Adraa Abbas Sadeq
Journal of Discrete Mathematical Sciences and Cryptography
Advanced Mathematical Identities
article

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

Haytham R. Hassan, Adraa Abbas Sadeq
article en

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).

Journal of Discrete Mathematical Sciences and CryptographyVol. 28(4-A)
Openalex Percentile: Top 79%
Advanced Mathematical Identities
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The complex elements of the skew partition (12,6,3)/(1,0) — Haytham R. Hassan, Adraa Abbas Sadeq · Journal of Discrete Mathematical Sciences and Cryptography (2025) | TGRS Research Map | TGRS