sl(3, k)正则幂零表示投射模的Lowey序列

李宜阳, 舒斌, 姚裕丰

数学学报 ›› 2014, Vol. 57 ›› Issue (5) : 981-992.

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数学学报 ›› 2014, Vol. 57 ›› Issue (5) : 981-992. DOI: 10.12386/A2014sxxb0091
论文

sl(3, k)正则幂零表示投射模的Lowey序列

    李宜阳1, 舒斌2, 姚裕丰3
作者信息 +

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

    Yi Yang LI1, Bin SHU2, Yu Feng YAO3
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摘要

基域k是特征为5的代数闭域，李代数g=s（3，k）.当p-特征函数χ为正则幂零且具有标准Levi型时，本文得到了g的主不可分解模的Lowey序列及其单模自扩张的维数.

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.

关键词

正则幂零 / Loewy 序列 / 自扩张

Key words

regular nilpotent / Loewy series / self-extension

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李宜阳, 舒斌, 姚裕丰. sl(3, k)正则幂零表示投射模的Lowey序列. 数学学报, 2014, 57(5): 981-992 https://doi.org/10.12386/A2014sxxb0091
Yi Yang LI, Bin SHU, Yu Feng YAO. The Lowey Series of Regular Nilpotent Representations for sl(3, k). Acta Mathematica Sinica, Chinese Series, 2014, 57(5): 981-992 https://doi.org/10.12386/A2014sxxb0091

参考文献

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基金

国家自然科学基金资助项目（11201293，11271130）

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