Outcomes for the skew-partition (6, 6, 3) / (1, 1, 0)
DOI:
https://doi.org/10.29304/jqcm.2021.13.2.793Keywords:
Weyl moᵭule, ᶈlace ᶈolariȥaŧión, comᶈlex, characŧerisŧic ȥeroAbstract
The aim of this work is to find the complex of characteristic zero (c.c.z.) in the case of skew-partition (6, 6, 3) / (1, 1, 0) as a diaǥram by utilizing the conceᶈts poweг of ᶈlaҫe polariẕaŧion and Caᶈęlli ideᶇtities.
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References
[1] David.A.B. 1986, A characteristic-free resolutions of the Giambelli and Jacobi- Trodi determinatal identities, proc. of K.I.T. Workshop on Algebra and topology Springer-Verlag.
[2] Haytham R.H. 2006, Application of the Characteristic-free resolution of Weyl module to the Lascoux resolution in the case (3,3,3), Ph. D. theses, Universita di Roma “Tor Vergata”.
[3] Haytham R.H. 2012, Reduction of resolution of Weyl Module from the characteristic-free Resolution in the case of (4,4,3), Ibn Al-Haitham Jornal for Pure and Applied Science, Vol.25(3), pp.341-355.
[4] Haytham R.H., Niran S.J., A complex of characteristic zero in the case of the partition (8,7,3). Science International (Lahore), 30(4), 639-641, 2018.
[5] Haytham R.H. & Niran S.J., On free resolution of Weyl module and zero characteristic resolution in the case of partition (8,7,3). Baghdad Science Journal, 15(4), 455-465, 2018.
[6] Haytham R.H. & Niran S.J., Application of Weyl module in the case of two rows. J. Phys.:Conf.Ser., 1003 (012051), 1-15, 2018.
[7] 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, 2019.
[8] Khudair, N.and 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.
[9] 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 .
[10] 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
[11] Giandomenico B. and David A.B. 2006, Threading Homology Through Algebra: Selected Patterns, Clarendon press, Oxford.
[12] 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.
[13] 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] Haytham R.H. 2006, Application of the Characteristic-free resolution of Weyl module to the Lascoux resolution in the case (3,3,3), Ph. D. theses, Universita di Roma “Tor Vergata”.
[3] Haytham R.H. 2012, Reduction of resolution of Weyl Module from the characteristic-free Resolution in the case of (4,4,3), Ibn Al-Haitham Jornal for Pure and Applied Science, Vol.25(3), pp.341-355.
[4] Haytham R.H., Niran S.J., A complex of characteristic zero in the case of the partition (8,7,3). Science International (Lahore), 30(4), 639-641, 2018.
[5] Haytham R.H. & Niran S.J., On free resolution of Weyl module and zero characteristic resolution in the case of partition (8,7,3). Baghdad Science Journal, 15(4), 455-465, 2018.
[6] Haytham R.H. & Niran S.J., Application of Weyl module in the case of two rows. J. Phys.:Conf.Ser., 1003 (012051), 1-15, 2018.
[7] 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, 2019.
[8] Khudair, N.and 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.
[9] 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 .
[10] 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
[11] Giandomenico B. and David A.B. 2006, Threading Homology Through Algebra: Selected Patterns, Clarendon press, Oxford.
[12] 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.
[13] 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
2021-05-23
How to Cite
Mansour, A. A., & Hassan, H. R. (2021). Outcomes for the skew-partition (6, 6, 3) / (1, 1, 0). Journal of Al-Qadisiyah for Computer Science and Mathematics, 13(2), Math Page 37– 41. https://doi.org/10.29304/jqcm.2021.13.2.793
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Math Articles
