Centralizers of sl(2,1) and sl(1,2) in the Generalized     Witt Lie Superalgebra over Fields of Prime Characteristics

LIU Jiaqi; QIAN Qiguo; ZHENG Keli

doi:10.15938/j.jhust.2021.01.021

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Centralizers of sl(2,1) and sl(1,2) in the Generalized Witt Lie Superalgebra over Fields of Prime Characteristics

更新时间：2026-08-31

- Centralizers of sl(2,1) and sl(1,2) in the Generalized Witt Lie Superalgebra over Fields of Prime Characteristics
- Vol. 26, Issue 1, Pages: 144-148(2021)
- 作者机构：
  
  东北林业大学数学系,哈尔滨,150040
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2021.01.021
  CLC： O152.5
- Published：2021
- 稿件说明：
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LIU Jiaqi, QIAN Qiguo, ZHENG Keli. Centralizers of sl(2,1) and sl(1,2) in the Generalized Witt Lie Superalgebra over Fields of Prime Characteristics[J]. 2021, 26(1): 144-148.
DOI：

LIU Jiaqi, QIAN Qiguo, ZHENG Keli. Centralizers of sl(2,1) and sl(1,2) in the Generalized Witt Lie Superalgebra over Fields of Prime Characteristics[J]. 2021, 26(1): 144-148. DOI： 10.15938/j.jhust.2021.01.021.

摘要

主要研究了在素特征域上特殊线性李超代数sl(2

1)和sl(1

2)在广义Witt李超代数上的中心化子。通过解线性方程组并对照gl(2

1)和gl(2

1)在奇部和偶部的中心化子，确定了sl(2

1)和sl(1

2)在广义Witt型李超代数的中心化子。

Abstract

Centralizers of the special linear Lie superalgebra sl( 2，1) and sl( 1，2) on the generalized Witt Liesuperalgebra are studied． By solving linear equations and comparing centralizers of the even and odd parts of gl( 2， 1) and gl( 2，1) ，centralizers of sl( 2，1) and sl( 1，2) in the generalized Witt Lie superalgebra over fields of prime characteristic are determined．

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