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限制Witt超代数偶部的可约极大阶化子代数 被引量：3

Reducible Maximal Graded Subalgebras for the Even Part of Restricted Witt Superalgebra
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摘要 为了深入研究限制Witt超代数的偶部g在素特征域上的极大阶化子代数,利用g的结构特点构造出g的所有可约极大阶化子代数并给出相应的维数公式. In order to insight into the maximal graded subalgebras of the even part of restricted Witt superalgebra g over a field of prime characteristic, this paper constructs all the reducible maximal graded subalgebras of g and determines the corresponding dimension formula by virtue of the features of structure of g.
作者 白薇 刘文德 董学强
机构地区 哈尔滨师范大学数学科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2012年第17期222-227,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(10871057) 黑龙江省杰出青年科学基金(JC201004) 黑龙江省教育厅科研项目(12521158)
关键词 模李超代数 限制Witt超代数 可约极大阶化子代数 Modular Lie superalgebra restricted Witt superalgebra reducible maximalgraded subalgebra
分类号 O152.5 [理学—基础数学]
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参考文献9

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同被引文献19

  • 1Karpelevich F I. On nonsemisimple maximal subalgebras of simple Lie algebras[J]. Dokl Akad Nauk SSSR (N. S.), 1951, 76:775-778 (in Russian).
  • 2Shchepochkina I. Maximal subalgebras of matrix Lie superalgebras[A]. Leites D. Seminar on Super- manifolds[C]. Reports of Stockholm University, 1992, 32: 1-43.
  • 3Shchepochkina I. Maximal solvable subalgebras of Lie superalgebras R [(m|n) and s [(rn|n)[J]. Funk- tsional Anal. Prilozhen, 1992, 28(2): 92-94.
  • 4Melikyan H. Maximal subalgebras of simple modular Lie algebras[J]. J. Algebra, 2005, 284(3): 824- 856.
  • 5Kostrikin A I, Shafarevich I R. Graded Lie algebras of finite characteristic[J]. Izv. Akad. Nauk. SSSR Ser. Mat., 1969, 33: 251-322.
  • 6Liu W D, Zhang Y Z. Derivations of the even parts for modular Lie superalgbras of Cartan type W and S[J]. Internat J. Algebra Computation, 2007, 17(14): 661-714.
  • 7Dykin E. Maximal subgroups of classical groups [J]. Trudy Moskov. Mat. Obsc., 1952,30:39-166.
  • 8Dykin E. Semisimple subalgebras of semisimple Lie algebras [J]. Mat. Sb. (N.S.), 1952, 30(72):349-462.
  • 9Shchepochkina I. Maximal subalgebras of matrix Lie superalgebras [J]. In: Leites D. Seminar on Superman- ifolds. Reports of Stockholm University, 1992,32:1-43.
  • 10Elduquq A, Laliena J, Sacristan S. Maximal subalgebras of associative superalgebras [J]. J. Algebra., 2004,275(1) :40-58.

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数学的实践与认识
2012年 第17期

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