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- Title
Characteristic 0 Resolution of the Weyl Module in the Event of Partitioning (4, 4, 3).
- Authors
Hashim, Hayder Muhi; Hassan, Haytham Razooki
- Abstract
Let R be a commutative ring with 1, Ӻ be a free R-module and Ḍį be "the divided power algebra" of degree į. Ṃ is a left-graded module with for Ѡ = Ƶ21ҝ ⋵ Å and Ѵ ⋵ Ḍᴯ1 ⊗ Ḍᴯ2. Consequently, we have Ѡ(Ѵ) = Ƶ21ҝ (Ѵ) = ∂21ҝ (Ѵ). where the separator ẋ vanishes between Ƶḁᵬ(ț)and ∂ḁᵬ(ț). We depend on the definition of the mapping Cone and applying that for the partition (4, 4, 3) to find the resolution of the Weyl module for characteristic 0 "in the situation of partition (4, 4, 3) without depends on the resolution of the Weyl module for characteristic free". Also by using Capelli identities we prove the sequences and the subsequences of the terms of characteristic zero satisfy the mapping Cone. Finally by the commutative of each diagram in these sequences and subsequences we get the reduction of the terms of the resolution of the Weyl module for characteristic free to the terms of the resolution of the Weyl module for characteristic 0.
- Subjects
COMMUTATIVE rings; RING theory; ALGORITHMS; MACHINE theory; MODULES (Algebra)
- Publication
Journal of University of Anbar for Pure Science, 2023, Vol 17, Issue 2, p311
- ISSN
1991-8941
- Publication type
Article
- DOI
10.37652/juaps.2023.141652.1094