期刊文献+

无限维KO型单模李超代数的超导子代数 被引量:1

SUPERDERIVATION ALGEBRAS OF THE INFINITE-DIMENSIONAL SIMPLE MODULAR LIE SUPERALGEBRAS OF KO-TYPE
下载PDF
导出
摘要 首先证明了无限维KO(n,n+1)型模李超代数的单性,给出了它的生成元集,进而确定了它的-齐次超导子,最后确定了KO(n,n+1)的超导子代数. The infinite - dimensional modular Lie superalgebra KO is proved to be simple. Then the generating set of KO is given. Furthermore, the Z -homogeneous superderivations of KO are determined and as a result, the superderivation algebra of KO is determined.
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2008年第2期14-17,共4页 Natural Science Journal of Harbin Normal University
基金 黑龙江省自然科学基金项目(2005-08) 黑龙江省教育厅科技(11511111)项目
关键词 阶化 模李超代数 超导子代数 Gradations Modular Lie superalgebras Superderivation algebras
  • 相关文献

参考文献4

二级参考文献11

  • 1Zhang Yongzheng,Chin Sci Bull,1997年,42卷,9期,720页
  • 2Lin Lei,Comm Algebra,1993年,21卷,2期,399页
  • 3Shen Guanyu,Chin Ann Math B,1983年,4卷,3期,329页
  • 4STRADE H, FARNSTEINER R. Modular Lie algebras and their representations[M]. New York and Basel :Marcel Dekker, Inc, 1988.
  • 5CELOUSOV M J. Derivations of Lie algebras of Cartan type[ J ]. Izv Vysg Ucebn Zaved Matematika, 1970, 98:126 - 134.
  • 6SHEN Guang - yu. New simple Lie algebras of characteristicp[ J ]. Chin Ann of Math, 1983, 413 (3) : 119 - 136.
  • 7SU Yu- cai. Derivations and structure of the Lie Algebras of XU type[J]. Manuscripta Math, 2001, 105:483 -500.
  • 8DOKOVIC D 2, ZHAO Kai - ruing. Some simple subalgebras of generalized Block algebras[J]. J Algebra, 1997, 192:74 - 101.
  • 9ZHANG YongzhengDepartment of Mathematics, Northeast Normal University, Changchun, 130024, China.Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic[J].Chinese Science Bulletin,1997,42(9):720-724. 被引量:75
  • 10张庆成,张永正.DERIVATION ALGEBRAS OF THE MODULAR LIE SUPERALGEBRAS W AND S OF CARTAN-TYPE[J].Acta Mathematica Scientia,2000,20(1):137-144. 被引量:32

共引文献43

同被引文献4

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部