The Lowey Series of Regular Nilpotent Representations for sl(3, k)

Yi Yang Li; Bin Shu; Yu Feng Yao

The Lowey Series of Regular Nilpotent Representations for sl(3, k)

Yi Yang Li^*
, Bin Shu
, Yu Feng Yao

^*此作品的通讯作者

数学科学学院

Shanghai University of Engineering Science
Shanghai Maritime University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

Let k be an algebraically closed field of prime characteristic p = 5, Lie algebra g = sl(3, k). In this paper, when p-character χ is regular nilpotent and has standard Levi form, the Lowey series of principle indecomposable g-modules and the dimensions for the self-extension of irreducible g-modules were given.

源语言	英语
页（从-至）	981-992
页数	12
期刊	Acta Mathematica Sinica, Chinese Series
卷	57
期	5
出版状态	已出版 - 1 9月 2014

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引用此

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title = "The Lowey Series of Regular Nilpotent Representations for sl(3, k)",

abstract = "Let k be an algebraically closed field of prime characteristic p = 5, Lie algebra g = sl(3, k). In this paper, when p-character χ is regular nilpotent and has standard Levi form, the Lowey series of principle indecomposable g-modules and the dimensions for the self-extension of irreducible g-modules were given.",

keywords = "Loewy series, Regular nilpotent, Self-extension",

author = "Li, \{Yi Yang\} and Bin Shu and Yao, \{Yu Feng\}",

year = "2014",

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language = "英语",

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TY - JOUR

T1 - The Lowey Series of Regular Nilpotent Representations for sl(3, k)

AU - Li, Yi Yang

AU - Shu, Bin

AU - Yao, Yu Feng

PY - 2014/9/1

Y1 - 2014/9/1

N2 - Let k be an algebraically closed field of prime characteristic p = 5, Lie algebra g = sl(3, k). In this paper, when p-character χ is regular nilpotent and has standard Levi form, the Lowey series of principle indecomposable g-modules and the dimensions for the self-extension of irreducible g-modules were given.

AB - Let k be an algebraically closed field of prime characteristic p = 5, Lie algebra g = sl(3, k). In this paper, when p-character χ is regular nilpotent and has standard Levi form, the Lowey series of principle indecomposable g-modules and the dimensions for the self-extension of irreducible g-modules were given.

KW - Loewy series

KW - Regular nilpotent

KW - Self-extension

UR - https://www.scopus.com/pages/publications/84912018019

M3 - 文章

AN - SCOPUS:84912018019

SN - 0583-1431

VL - 57

SP - 981

EP - 992

JO - Acta Mathematica Sinica, Chinese Series

JF - Acta Mathematica Sinica, Chinese Series

IS - 5

ER -

The Lowey Series of Regular Nilpotent Representations for sl(3, k)

摘要

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