Zobrazeno 1 - 10
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pro vyhledávání: '"Weyl module"'
Autor:
Gao, Shiliang, Wang, Dinglong
For a simple Lie algebra $\mathfrak{g}$ of type $A_n,B_n,C_n$ or $D_n$, we give a characterization of the set of dominant integral weights $\lambda$ such that for any rational point $\mu$ in the fundamental Weyl chamber, $2\lambda-\mu$ is a non-negat
Externí odkaz:
http://arxiv.org/abs/2312.12756
Autor:
Haytham Hassan, Ghsoon Raheem
Publikováno v:
مجلة جامعة الانبار للعلوم الصرفة, Vol 17, Iss 2, Pp 317-325 (2023)
The characteristic-free resolution of K_((7,5,3) ) is applied to the Lascoux resolution of K_((7,5,3) ) F (characteristic zero resolution) in this paper. This research teaches us about the relationship between the resolution of the weyl module K_((7,
Externí odkaz:
https://doaj.org/article/677609aba79448db86e633e436b71bef
Autor:
Haytham Hassan, Hayder Hashim
Publikováno v:
مجلة جامعة الانبار للعلوم الصرفة, Vol 17, Iss 2, Pp 311-316 (2023)
Let R be a commutative ring with 1, Ӻ be a free R-module and Ḍ_į be "the divided power algebra" of degree į. Ṃ is a left-graded module with for Ѡ = Ƶ_21^ҝ⋵ Å and Ѵ ⋵〖 Ḍ〗_(ᴯ_1 )⊗ Ḍ_(ᴯ_2 ) .Consequently, we have Ѡ(Ѵ)= Ƶ
Externí odkaz:
https://doaj.org/article/ba233a108a8640ccaea79ed7c7b2577a
Autor:
Yunpeng Xue
Publikováno v:
AIMS Mathematics, Vol 8, Iss 7, Pp 14997-15007 (2023)
Associated with a reductive algebraic group $ G $ and its rational representation $ (\rho, M) $ over an algebraically closed filed $ {\bf{k}} $, the authors define the enhanced reductive algebraic group $ {\underline{G}}: = G\ltimes_\rho M $, which i
Externí odkaz:
https://doaj.org/article/9c0c7c1fd17b4c4485dcc49399c0a22f
Publikováno v:
Open Engineering, Vol 14, Iss 1, Pp 207-78 (2024)
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).
Externí odkaz:
https://doaj.org/article/3a2f4aa9e288475ba045f8dd8d88dbad
Autor:
Mansour, Alaa Abbas1 sosoalamy@gmail.com, Hassan, Haytham R.2
Publikováno v:
Iraqi Journal of Science. 2021, Vol. 62 Issue 11, p4071-4080. 10p.
Akademický článek
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Application of Two Rowed Weyl Module in the Case of Partition (7,6) and Skew- Partition (7,6)/(1,0).
Autor:
Hatim, Nejood A.1, Hassan, Haytham R.1 thseen750@jmail.com
Publikováno v:
Iraqi Journal of Science. 2021, Vol. 62 Issue 9, p3071-3080. 10p.
Autor:
Abd-Alridah, Shaymaa N.1 sh_8079@uomustansiriyah.edu.iq, Hassan, Haytham R.1
Publikováno v:
Iraqi Journal of Science. 2023, Vol. 64 Issue 6, p3036-3043. 8p.
Publikováno v:
Journal of Algebra, Volume 585, 2021, Pages 1-24
Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl m
Externí odkaz:
http://arxiv.org/abs/2006.15063