The target of this work is to study the two rows resolution of Weyl module, and locate the terms and the exactness of the Weyl Resolution in the Case of Partition (8,7).
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.
The purpose of this work is survey an application of the characteristic-free resolution and Lascoux resolution of K(8,6,3)/(u,1) F where u = 1 and 2, also we survey the connection between the ...resolution of Weyl module in this case of each mode for the same skew-partition.
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.
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).
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).
In this work, we find the terms of the complex of characteristic zero in the case of the skew-shape (8,6, 3)/(u,1), where u = 1 and 2. We also study this complex as a diagram by using the mapping ...Cone and other concepts.
The main purpose of this paper is to study the application of weyl module and resolution in the case skew- shapes (6, 5) / (1, 0) and (6, 5) / (2, 0) by using contracting homotopy and the place ...polarization.
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).
Complex of Lascoux in Partition (3,3,2) Haytham R. Hassan; Alaa Omer Aziz
Ibn Al-Haitham Journal for Pure and Applied Sciences,
03/2017, Letnik:
28, Številka:
1
Journal Article
Recenzirano
Odprti dostop
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 .