The Resolution of Three- Mowed Weyl Module in the case of (7, 6, 3) / (1, 0, 0)
DOI:
https://doi.org/10.29304/jqcm.2021.13.2.817Keywords:
Weyl moᵭule, , ᶈlace ᶈolariȥaŧión, comᶈlex, characŧerisŧic ȥeroAbstract
The object of this work is investigation a presentation of the characteristic-free resolution and Lascoux resolution of (7, 6, 3)/(1, 0, 0) . A joining between the resolution of Weyl module is also included in this work
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References
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2. D.A. Buchsbaum and G.C. Rota, “Approaches to Resolution of Weyl Modules”, Adv. In Applied Math., Vol.27, pp.182-191, 2001.
3. Shaymaa, N.A. and Haytham, R.H. , “The Resolution of Weyl Module for Two Rows in Special Case of The Skew-Shape ˮ ,Iraqi Journal of science, Vol.61 (4), pp.824-830, 2020.
4. Shaymaa N. A. and Haytham, R.H.. “Complex of Characteristic Zero Weyl Module in the Skew-Shape (8,6,3)/(u,1) where u = 1 and 2 ˮ Iraqi Journal of Science, Special Issue, pp: 86-91, 2020.
5. Haytham, R.H. and Niran S.J."Characteristic Zero Resolution of Weyl Module in the Case of the Partition (8, 7, 3)", IOP Conf. Series:Materials Science and Engineering, Vol. 571, pp. 1-10 , 2019.
6. Shaymaa N.A. and Haytham, R.H."Application between the characteristic-free resolution and Lascoux resolution in the skew- shape (8,6,3)/(u,1) where u = 1 and 2" IOP Conf. Series:Materials Science and Engineering,Vol.871, pp, 1-11, 2020.
7. Maria A. and David A. Buchsbaum." Resolution of Three- rowed skew-and almost skew-shapes in Characteristic Zero", European Jornal of Combinatorics, Vol131, pp.325-335, 2010.
8. David A. Buchsbaum,“A Characteristic-free Example of Lascoux Resolution, and Letter Place Methods for Intertwining Numbers”, European Journal of Gombinatorics, Vol.25, pp.1169-1179, 2004.
9. Haythamn R. Hassan, “Application of the Characteristic-free Resolution of Weyl Module to the Lascoux Resolution in the Case (3, 3, 3)”, Ph.D. Thesis, Universita di Roma ″Tor Vergata″, 2005.
10. Haytham R. Hassan, Alaa A. Mansour , Outcomes of the Skew-partition (6, 6, 3) / (1, 1, 0), Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1), Math
11. Abbas, A., & Hassan, H. (2020). Complex of Lascoux in the case of skew partition (6,5,3)/(ȶ,0,0); where ȶ=1,2. Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(4), Math page 81-, https://doi.org/10.29304/jqcm.2019.11.4.648 .
12. Rania, N.A, Hassan, H., Results for skew-shape (9,7,3)/(1,0), (2021), Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math 30-. https://doi.org/10.29304/jqcm.2021.13.2.792.
13. Falah .K, R. and Mohammed.H, R. (2017). Convert 2D shapes in to 3D images. Journal of Al-Qadisiyah for Computer Science and Mathematics, 9(2), Comp.19-23, https://doi.org/10.29304/jqcm.2017.9.2.146.
14. Abdulrahman A. Mohammed and Laith K. Shaakir, (2021), Partial Modular Space, Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 1-. https://doi.org/10.29304/jqcm.2021.13.2.789.
2. D.A. Buchsbaum and G.C. Rota, “Approaches to Resolution of Weyl Modules”, Adv. In Applied Math., Vol.27, pp.182-191, 2001.
3. Shaymaa, N.A. and Haytham, R.H. , “The Resolution of Weyl Module for Two Rows in Special Case of The Skew-Shape ˮ ,Iraqi Journal of science, Vol.61 (4), pp.824-830, 2020.
4. Shaymaa N. A. and Haytham, R.H.. “Complex of Characteristic Zero Weyl Module in the Skew-Shape (8,6,3)/(u,1) where u = 1 and 2 ˮ Iraqi Journal of Science, Special Issue, pp: 86-91, 2020.
5. Haytham, R.H. and Niran S.J."Characteristic Zero Resolution of Weyl Module in the Case of the Partition (8, 7, 3)", IOP Conf. Series:Materials Science and Engineering, Vol. 571, pp. 1-10 , 2019.
6. Shaymaa N.A. and Haytham, R.H."Application between the characteristic-free resolution and Lascoux resolution in the skew- shape (8,6,3)/(u,1) where u = 1 and 2" IOP Conf. Series:Materials Science and Engineering,Vol.871, pp, 1-11, 2020.
7. Maria A. and David A. Buchsbaum." Resolution of Three- rowed skew-and almost skew-shapes in Characteristic Zero", European Jornal of Combinatorics, Vol131, pp.325-335, 2010.
8. David A. Buchsbaum,“A Characteristic-free Example of Lascoux Resolution, and Letter Place Methods for Intertwining Numbers”, European Journal of Gombinatorics, Vol.25, pp.1169-1179, 2004.
9. Haythamn R. Hassan, “Application of the Characteristic-free Resolution of Weyl Module to the Lascoux Resolution in the Case (3, 3, 3)”, Ph.D. Thesis, Universita di Roma ″Tor Vergata″, 2005.
10. Haytham R. Hassan, Alaa A. Mansour , Outcomes of the Skew-partition (6, 6, 3) / (1, 1, 0), Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1), Math
11. Abbas, A., & Hassan, H. (2020). Complex of Lascoux in the case of skew partition (6,5,3)/(ȶ,0,0); where ȶ=1,2. Journal of Al-Qadisiyah for Computer Science and Mathematics, 11(4), Math page 81-, https://doi.org/10.29304/jqcm.2019.11.4.648 .
12. Rania, N.A, Hassan, H., Results for skew-shape (9,7,3)/(1,0), (2021), Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math 30-. https://doi.org/10.29304/jqcm.2021.13.2.792.
13. Falah .K, R. and Mohammed.H, R. (2017). Convert 2D shapes in to 3D images. Journal of Al-Qadisiyah for Computer Science and Mathematics, 9(2), Comp.19-23, https://doi.org/10.29304/jqcm.2017.9.2.146.
14. Abdulrahman A. Mohammed and Laith K. Shaakir, (2021), Partial Modular Space, Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 1-. https://doi.org/10.29304/jqcm.2021.13.2.789.
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Published
2021-07-08
How to Cite
Hatem, N. A., & Hassan, H. R. (2021). The Resolution of Three- Mowed Weyl Module in the case of (7, 6, 3) / (1, 0, 0). Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 203– 213. https://doi.org/10.29304/jqcm.2021.13.2.817
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Math Articles
