Lascoux Resolution of Weyl Module in the Case of Partition (5,4,4)
Publication Date
Fri Jun 30 2023
Journal Name
Iraqi Journal Of Science
Characteristic Zero Resolution (Lascoux Resolution) of Weyl Module in the Case of the Skew- Partition (11, 7, 5)/ (1, 1, 1)
Resolution
Lascoux resolution
Weyl module
Characteristic free
mapping Cone
skew-shape
In this paper, the terms of Lascoux and boundary maps for the skew-partition (11,7,5) / (1,1,1) are found by using the Jacobi-Trudi matrix of partition. Further, Lascoux resolution is studied by using a mapping Cone without depending on the characteristic-free resolution of the Weyl module for the same skew-partition.
Publication Date
Mon Jul 01 2019
Journal Name
Iop Conference Series: Materials Science And Engineering
Characteristic Zero Resolution of Weyl Module in the Case of the Partition (8,7,3)
Abstract<p>In this paper, we studied the resolution of Weyl module for characteristic zero in the case of partition (8,7,3) by using mapping Cone which enables us to get the results without depended on the resolution of Weyl module for characteristic free for the same partition.</p>
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(2)
Publication Date
Sun Dec 09 2018
Journal Name
Baghdad Science Journal
On Free Resolution of Weyl Module and Zero Characteristic Resolution In The Case of Partition (8,7,3)
Weyl module
resolution
free resolution
characteristic-free resolution
characteristic zero resolution.
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(1)
Publication Date
Thu May 04 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Reduction of Resolution of Weyl Module from Characteristic-Free Resolution in Case (4,4,3)
In this paper we study the relation between the resolution of Weyl Module F K ) 3 , 4 , 4 (
in
characteristic-free mode and in the Lascoux mode (characteristic zero), more precisely we
obtain the Lascoux resolution of F K ) 3 , 4 , 4 (
in characteristic zero as an application of the
resolution of F K ) 3 , 4 , 4 (
in characteristic-free.
Key word : Resolution, Weyl module, Lascoux mode, divided power, characteristic-free.
Publication Date
Fri Apr 30 2021
Journal Name
Iraqi Journal Of Science
Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero
resolution
Lascoux resolution
Weyl module
mapping Cone
exact sequence
subcomplex
In this work, we prove by employing mapping Cone that the sequence and the subsequence of the characteristic-zero are exact and subcomplex respectively in the case of partition (6,6,4) .
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(6)
Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
Application of Two Rowed Weyl Module in the Case of Partition (7,6) and Skew- Partition (7,6)/(1,0)
Divided power algebra
resolution of Weyl module
place polarization
mapping Cone
The aim of this work is to study the application of Weyl module resolution in the case of two rows, which will be specified in the partition (7, 6) and skew- partition (7,6)/(1,0) by using the homological Weyl (i.e. the contracting homotopy and place polarization).
Publication Date
Sun Apr 26 2020
Journal Name
Iraqi Journal Of Science
The The Resolution of Weyl Module for Two Rows in Special Case of the Skew-Shape
Resolution
resolution of Weyl module
place polarization
skew-shape
box map
The aim of this work is to survey the two rows resolution of Weyl module and locate the terms and the exactness of the Weyl Resolution in the case of skew-shape (8,6)/(2,1).
Publication Date
Tue Nov 30 2021
Journal Name
Iraqi Journal Of Science
Application of Two Rowed Weyl Module in the Case of Partition (6, 6)/(1,U) when U= 0,1
Divided power algebra
resolution of Weyl module
place polarization
mapping Cone
The main aim of this paper is to study the application of Weyl module resolution in the case of two rows, which will be specified in the skew- partition (6, 6)/(1,1) and (6,6)/(1,0), by using the homological Weyl (i.e. the contracting homotopy and place polarization).
Publication Date
Tue May 01 2018
Journal Name
Journal Of Physics: Conference Series
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(2)
Publication Date
Fri Mar 17 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Complex of Lascoux in Partition (3,3,2)
Divided power algebra
Resolution of Weyl module
Place polarization
Mapping Cone.
In this paper, the complex of Lascoux in the case of partition (3,3,2) has been studied by using diagrams ,divided power of the place polarization ) (k ij ,Capelli identites and the idea of mapping Cone .