scholarly journals On homomorphisms involving a hook Weyl module

2021 ◽  
Author(s):  
Mihalis Maliakas ◽  
Dimitra-Dionysia Stergiopoulou
Keyword(s):  
Weyl Module

scholarly journals Application of Weyl Module In The Case Of Two Rows

2018 ◽  
Vol 1003 ◽  
pp. 012051
Author(s):  
Haytham R. Hassan ◽  
Niran Sabah Jasim
Keyword(s):  
Weyl Module

scholarly journals Application of Two Rowed Weyl Module in the Case of Partition (6, 6)/(1,U) when U= 0,1

2021 ◽  
pp. 4071-4080
Author(s):  
Alaa Abbas Mansour ◽  
Haytham R. Hassan
Keyword(s):  
Weyl Module ◽  
Contracting Homotopy

The main aim of this paper is to study the application of Weyl module resolution in the case of two rows, which will be specified in the skew- partition (6, 6)/(1,1) and (6,6)/(1,0), by using the homological Weyl (i.e. the contracting homotopy and place polarization).

scholarly journals Resolution for the two-rowed weyl module inThe cases of (6,5) / (1,0) and (6,5) / (2,0)

2020 ◽  
pp. 416-421
Author(s):  
Annam Ali Abbas ◽  
Haytham R. Hassan
Keyword(s):  
Weyl Module ◽  
Contracting Homotopy

     The main purpose of this paper is to study the application of weyl module and resolution in the case skew- shapes (6, 5) / (1, 0) and (6, 5) / (2, 0) by using contracting homotopy and the place polarization.

scholarly journals Counterexamples to the tilting and (p,r)-filtration conjectures

2020 ◽  
Vol 2020 (767) ◽  
pp. 193-202
Author(s):  
Christopher P. Bendel ◽  
Daniel K. Nakano ◽  
Cornelius Pillen ◽  
Paul Sobaje
Keyword(s):  
Algebraic Group ◽  
Indecomposable Module ◽  
Weyl Module ◽  
Tilting Module ◽  
Simple Algebraic Group ◽  
Frobenius Kernel ◽  
Projective Indecomposable Module

AbstractIn this paper the authors produce a projective indecomposable module for the Frobenius kernel of a simple algebraic group in characteristic p that is not the restriction of an indecomposable tilting module. This yields a counterexample to Donkin’s longstanding Tilting Module Conjecture. The authors also produce a Weyl module that does not admit a p-Weyl filtration. This answers an old question of Jantzen, and also provides a counterexample to the {(p,r)}-Filtration Conjecture.

scholarly journals Resolution of Weyl Module in the case of skew partitions (9,7)/(s,0), when s = 1,2

2021 ◽  
Vol 1879 (3) ◽  
pp. 032035
Author(s):  
Haytham Razooki Hassan ◽  
Rania Nazem ◽  
Rania Abdul Nazem Rahman
Keyword(s):  
Weyl Module

scholarly journals The The Resolution of Weyl Module for Two Rows in Special Case of The Skew-Shape

2020 ◽  
pp. 824-830
Author(s):  
Shaymaa N. Abd-Alrida
Keyword(s):  
Weyl Module ◽  
Special Case

The aim of this work is to survey  the two rows resolution of  Weyl module ,and locate the terms and the exactness of the Weyl in the resolution in the case of  skew - shape (8,6)/(2,1).

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