Projective modules of 0-Schur algebras

Bernt Tore Jensen; Xiuping Su; Guiyu Yang

doi:10.1016/j.jalgebra.2016.01.023

Projective modules of 0-Schur algebras

Bernt Tore Jensen, Xiuping Su, Guiyu Yang

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Citations (SciVal)

Abstract

We study the structure of the 0-Schur algebra S0(n,r)S0(n,r) following the geometric construction of S0(n,r)S0(n,r) by Jensen and Su [12]. 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)S0(n,r) into indecomposable left modules.

Original language	English
Pages (from-to)	181-205
Number of pages	25
Journal	Journal of Algebra
Volume	454
Early online date	5 Feb 2016
DOIs	https://doi.org/10.1016/j.jalgebra.2016.01.023
Publication status	Published - 15 May 2016

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10.1016/j.jalgebra.2016.01.023

Xiuping Su
- X.Su2bath.acuk
- Department of Mathematical Sciences - Senior Lecturer
Person: Research & Teaching

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title = "Projective modules of 0-Schur algebras",

abstract = "We study the structure of the 0-Schur algebra S0(n,r)S0(n,r) following the geometric construction of S0(n,r)S0(n,r) by Jensen and Su [12]. 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)S0(n,r) into indecomposable left modules.",

author = "Jensen, {Bernt Tore} and Xiuping Su and Guiyu Yang",

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AU - Jensen, Bernt Tore

AU - Su, Xiuping

AU - Yang, Guiyu

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Y1 - 2016/5/15

N2 - We study the structure of the 0-Schur algebra S0(n,r)S0(n,r) following the geometric construction of S0(n,r)S0(n,r) by Jensen and Su [12]. 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)S0(n,r) into indecomposable left modules.

AB - We study the structure of the 0-Schur algebra S0(n,r)S0(n,r) following the geometric construction of S0(n,r)S0(n,r) by Jensen and Su [12]. 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)S0(n,r) into indecomposable left modules.

U2 - 10.1016/j.jalgebra.2016.01.023

DO - 10.1016/j.jalgebra.2016.01.023

M3 - Article

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VL - 454

SP - 181

EP - 205

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Projective modules of 0-Schur algebras

Abstract

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Xiuping Su

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