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The number of the generating matrices of the subspaces which represent an FpWn-submodule where Fp = GF(p) and Wn is the Weyl group of type Bn

February 2021

February 2021

DOI:10.13140/RG.2.2.16635.85282

Authors:

Jinan Fadhil Naser Al-Jobory

Al-Mustansiriya University

Emad Al-Zangana

Al-Mustansiriya University

Faez Hassan Ali

Mustansiriyah University

In this paper, we will �nd the number of the generating matrices of the subspaces, which represent any ℓ-dimensional FpWn-submodule N of an m-dimensional FpWn-module M and apply this result on three samples of submodules. Keywords: �nite �eld Fp = GF(p), Weyl group Wn of type Bn, group ring FpWn, FpWn-module, FpWn-submodule, pair of partitions (�; �) of a positive integer n, Specht polynomial, Specht module, generating matrix of a subspace, statistics theorems

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