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

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).

Application of Two Rowed Weyl Module in the Case of Partition (7,6) and Skew- Partition (7,6)/(1,0)

The aim of this work is to study the application of Weyl module resolution in the case of two rows, which will be specified in the partition (7, 6) and skew- partition (7,6)/(1,0) by using the homological Weyl (i.e. the contracting homotopy and place polarization).

Weyl Module Resolution Res (6,6,4;0,0) in the Case of Characteristic Zero

In this work, we prove by employing mapping Cone that the sequence and the subsequence of the characteristic-zero are exact and subcomplex respectively in the case of partition (6,6,4) .

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

In 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.

Application of the Two Rowed Weyl Module in the Case of Partitions (7,7) and (7, 7) / (1, 0)

The purpose of this paper is to study the application of Weyl module’s resolution in the case of two rows which will be specified in the partitions (7, 7) and (7, 7) / (1, 0), using the homological Weyl (i.e. the contracting homotopy and place polarization).

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

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).

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

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.