Characteristic Zero Resolution (Lascoux Resolution) of Weyl Module in the Case of the Skew- Partition (11, 7, 5)/ (1, 1, 1)

Shaymaa N. Abd-Alridah; Haytham R. Hassan

doi:10.24996/ijs.2023.64.6.31

Authors

Shaymaa N. Abd-Alridah Department of Mathematics, College of Science, Mustansiriyah University https://orcid.org/0000-0003-0646-0174
Haytham R. Hassan Department of Mathematics, College of Science, Mustansiriyah University

DOI:

https://doi.org/10.24996/ijs.2023.64.6.31

Keywords:

Resolution, Lascoux resolution, Weyl module, Characteristic free, mapping Cone, skew-shape

Abstract

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.

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Published

2023-06-30

Issue

Vol 64 No 6 (2023)

Section

Mathematics

How to Cite

[1]

S. N. Abd-Alridah and H. R. Hassan, “Characteristic Zero Resolution (Lascoux Resolution) of Weyl Module in the Case of the Skew- Partition (11, 7, 5)/ (1, 1, 1)”, Iraqi Journal of Science, vol. 64, no. 6, pp. 3036–3043, Jun. 2023, doi: 10.24996/ijs.2023.64.6.31.