Projective modules of 0-Schur algebras
Abstract
We study the structure of the 0-Schur algebra S0(n, r) following the geometric construction of S0(n, r) by Jensen and Su 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 S0(n,r) into indecomposable left modules.
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