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

Shandong University
Norwegian University of Science and Technology

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

3 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

Access to Document

10.1016/j.jalgebra.2016.01.023

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

Cite this

@article{9c5b11f41ce9446ea3925b2163fc75c3,

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",

year = "2016",

month = may,

day = "15",

doi = "10.1016/j.jalgebra.2016.01.023",

language = "English",

volume = "454",

pages = "181--205",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "Elsevier Academic Press Inc",

}

TY - JOUR

T1 - Projective modules of 0-Schur algebras

AU - Jensen, Bernt Tore

AU - Su, Xiuping

AU - Yang, Guiyu

PY - 2016/5/15

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

SN - 0021-8693

VL - 454

SP - 181

EP - 205

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Projective modules of 0-Schur algebras

Abstract

Access to Document

Fingerprint

Profiles

Xiuping Su

Cite this