Results for Skew-Shape(9,7,3)/(1,0)
DOI:
https://doi.org/10.29304/jqcm.2021.13.2.792Keywords:
Characteristic Zero, resolution of Weyl module, Place polarization, cone mapping, ComplexAbstract
In this paper, we find the conditions for the sequence of characteristic zero in the case of the skew-shape . We also study this sequence as a diagram and prove that this sequence is complex using mapping Cone and other concepts.
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References
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2. Haytham R.H., 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", 2006.
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9. Haytham R.H.and Niran S.J., Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero, Iraqi journal of science, Vol. 62, No.4, pp.1344-1348, 2021.
10. David A.B and Mari Artale, Resolution of Three-Rowed Skew-and Almost Shew-Shapes in Characteristic Zero, European Journal of Combinatorics, Vol. 31, pp.325-335, 2010.
11. David A.B. and Rota G.C., Approaches to Resolution of Weyl Modules, Adv. in applied Math., Vol.27, pp.82-191, 2001.
12. Giandomenico Boffi and David A. Buchsbaum, Threading Homology through Algebra: Selected Patterns, Clarendon Press, Oxford, 2006.
13. Khudair, N., & Hassan, H. (2020). The Complex of Lascoux in the Case of partition (7,7,3). Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1), Math Page 1 -. https://doi.org/10.29304/jqcm.2020.12.1.656
14. 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
15. falah .K, R., & 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
16. G.S.Al-Khafaji, D., & N. Shekoury, R. (2017). Combinatorial Realizability Of The New Exact Sequence. Journal of Al-Qadisiyah for Computer Science and Mathematics, 2(2), 36-52. Retrieved from https://qu.edu.iq/journalcm/index.php/journalcm/article/view/222
17. Resen, J., Abbas, S., & Sadiqc, H. (2020). The Principle IndecomposableProjective Characters of The Symmetric Groups S_22Modulo p=19. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(2), Math Page 57 -. https://doi.org/10.29304/jqcm.2020.12.2.696
2. Haytham R.H., 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", 2006.
3. Haytham R.H., The Reduction of Resolution of Weyl Module From Characteristic-Free Resolution in Case (4,4,3), Ibn Al-Haitham Journal for Pure and Applied Science; Vol.25(3), pp.341-355, 2012.
4. Haytham R.H. and Alaa O.A., Complex of Lascoux in Partition (3,3,2), Ibn Al-Haitham Journal for Pure and Applied Science, Vol. 28 (1), pp. 171-178, 2015.
5. Haytham R.H. and Mays M.M., Complex of Lascoux in Partition (6,6,3), International Journal of Engineering Research And Management (IJERM), Vol.2, pp.15-17, 2015.
6. Haytham R.H. and Noor T.A., Complex of Lascoux in Partition (6,5,3), International Journal of Engineering Research And Management (IJERM), Vol.03, pp.197-199, 2016.
7. Haytham R.H. and Najah M.M., Complex of Lascoux in the Case of Partition (7,6,3), Aust J Basic Appl Sci., Vol.10 (18), pp.89-93, December 2016.
8. Haytham R. Hassan, Niran Sabah Jasim, On free resolution of Weyl module and zero characteristic resolution in the case of partition (8,7,3), Baghdad science journal, Vol.15(4), pp.455-465, 2018.
9. Haytham R.H.and Niran S.J., Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero, Iraqi journal of science, Vol. 62, No.4, pp.1344-1348, 2021.
10. David A.B and Mari Artale, Resolution of Three-Rowed Skew-and Almost Shew-Shapes in Characteristic Zero, European Journal of Combinatorics, Vol. 31, pp.325-335, 2010.
11. David A.B. and Rota G.C., Approaches to Resolution of Weyl Modules, Adv. in applied Math., Vol.27, pp.82-191, 2001.
12. Giandomenico Boffi and David A. Buchsbaum, Threading Homology through Algebra: Selected Patterns, Clarendon Press, Oxford, 2006.
13. Khudair, N., & Hassan, H. (2020). The Complex of Lascoux in the Case of partition (7,7,3). Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(1), Math Page 1 -. https://doi.org/10.29304/jqcm.2020.12.1.656
14. 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
15. falah .K, R., & 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
16. G.S.Al-Khafaji, D., & N. Shekoury, R. (2017). Combinatorial Realizability Of The New Exact Sequence. Journal of Al-Qadisiyah for Computer Science and Mathematics, 2(2), 36-52. Retrieved from https://qu.edu.iq/journalcm/index.php/journalcm/article/view/222
17. Resen, J., Abbas, S., & Sadiqc, H. (2020). The Principle IndecomposableProjective Characters of The Symmetric Groups S_22Modulo p=19. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(2), Math Page 57 -. https://doi.org/10.29304/jqcm.2020.12.2.696
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Published
2021-05-12
How to Cite
Abdul Rahman, R. N., & Hassan, H. R. (2021). Results for Skew-Shape(9,7,3)/(1,0). Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 30– 36. https://doi.org/10.29304/jqcm.2021.13.2.792
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Math Articles
