胡余旺, 张凯丽. 模李超代数P(2)的诱导模[J]. 信阳师范学院学报(自然科学版), 2019, 32(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2019.01.001
引用本文: 胡余旺, 张凯丽. 模李超代数P(2)的诱导模[J]. 信阳师范学院学报(自然科学版), 2019, 32(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2019.01.001
HU Yuwang, ZHANG Kaili. Induced Module of Modular Lie Superalgebra P(2)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2019.01.001
Citation: HU Yuwang, ZHANG Kaili. Induced Module of Modular Lie Superalgebra P(2)[J]. Journal of Xinyang Normal University (Natural Science Edition), 2019, 32(1): 1-4. DOI: 10.3969/j.issn.1003-0972.2019.01.001

模李超代数P(2)的诱导模

Induced Module of Modular Lie Superalgebra P(2)

  • 摘要:g=P(2)是特征p>2的代数闭域F上模李超代数,构造了诱导模Indg+gV,刻画其结构.通过计算其最高权向量,证明了诱导模的不可约性.

     

    Abstract: Let g=P(2) be a modular Lie superalgebra over the algebraic closed field F of characteristic p > 2. Induced module Indg+gV was constructed, the structure of induced module was studied. The irreducibility of induced module was proved by computing its highest weight vector.

     

/

返回文章
返回