The complex of Weyl module in free characteristic in the event of a partition (7,5,3)-Reference-Cited by-同舟云学术

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The complex of Weyl module in free characteristic in the event of a partition (7,5,3)

Published:2024-01-01 Issue:1 Volume:14 Page:
ISSN:2391-5439
Container-title:Open Engineering
language:en
Short-container-title:

Author:

Rabeea Raheem Ghsoon¹,Razooki Hassan Haytham²

Affiliation:

1. Ministry of Education, Directorate General of Education in Baghdad, Karkh 1 , Baghdad , Iraq

2. Department of Mathematics, College of Science, Mustansiriyah University , Baghdad , Iraq

Abstract

Abstract In this research, the diagrams and divided power, together with their Capelli’s identities, were employed to investigate

“ the Complex of Lascoux ”

\mbox{''}{the\; Complex\; of\; Lascoux}\mbox{''}

in the situation of

partition

{partition}

(7,5,3).

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/eng-2022-0516/pdf

Reference17 articles.

1. Akin K, Buchsbaum DA, Weyman J. Schur functors and Schur complexes. Adv Math. 1982;44:207–78.

2. Buchsbaum DA, Rota GC. Approaches to resolution of Weyl modules. Adv Appl Math. 2001;27:182–91.

3. Boffi G, Buchsbaum DA. Threading homology through algebra: Selected patterns. Oxford: Clarendon Press; 2006.

4. Buchsbaum DA. Characteristic-free resolutions of the Giambelli and Jacobi-Trodi determinatal identities. Proceedings of K.I.T. Workshop on Algebra and topology Springer- Verlag; 1986.

5. Haytham RH, Niran SJ. Weyl module resolution res (6,6,4;0,0) in the case of characteristic zero. Iraqi J Sci. 2021;62(4):1344–8. 10.24996/ijs.2021.62.4.30.

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