Projective modules of $0$-Schur algebras

Bernt Tore Jensen; Xiuping Su; Guiyu Yang

Projective modules of $0$-Schur algebras

Rings and Algebras 2016-01-01 v3 Quantum Algebra Representation Theory

Authors: Bernt Tore Jensen , Xiuping Su , Guiyu Yang

Abstract

We study the structure of the $0$ -Schur algebra $S_0(n, r)$ following the geometric construction of $S_0(n, r)$ by Jensen and Su \cite{JS}. The main results are the construction and classification of indecomposable projective modules. In addition, we construct bases of these modules and their homomorphism spaces. We also give a filtration of projective modules, which leads to a decomposition of $S_0(n,r)$ into indecomposable left modules.

Keywords

0-Schur algebra projective modules indecomposable modules geometric construction homomorphism spaces module filtration

Cite

@article{arxiv.1312.5487,
  title  = {Projective modules of $0$-Schur algebras},
  author = {Bernt Tore Jensen and Xiuping Su and Guiyu Yang},
  journal= {arXiv preprint arXiv:1312.5487},
  year   = {2016}
}

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The paper has been reorganised. Some results were removed and will appear elsewhere

Projective modules of $0$-Schur algebras

Abstract

Keywords

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