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

^*Corresponding author for this work

School of Mathematical Sciences

Shanghai University of Engineering Science
Shanghai Maritime University

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

1 Scopus citations

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.

Original language	English
Pages (from-to)	981-992
Number of pages	12
Journal	Acta Mathematica Sinica, Chinese Series
Volume	57
Issue number	5
State	Published - 1 Sep 2014

Keywords

Loewy series
Regular nilpotent
Self-extension

Cite this

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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.",

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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

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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)

Abstract

Keywords

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