期刊文献+

模李代数的Ext-转移(英文)

Ext-transfer for modular Lie algebras
下载PDF
导出
摘要 令G为素特征代数闭域上简约连通的代数群,g是G的李代数.本文研究,当p特征x具有标准Levi型时,g表示的Ext上同调群.得到了g模到其Levi子代数的模上的Ext转移. Let G be a connected reductive algebraic group over an algebraically closed field k of prime characteristic p and g =Lie(G).This paper studied the Ext-groups of g with a p-character x of standard Levi form.An Ext-transfer result from g-modules to the modules of its Levi subalgebras was obtained.
作者 李宜阳
出处 《华东师范大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第1期1-5,共5页 Journal of East China Normal University(Natural Science)
基金 国家自然科学基金(11271130,11201293)
关键词 标准Levi型 诱导模 余诱导模 Ext群 standard Levi-form induced module coinduced module Ext-groups
  • 相关文献

参考文献8

  • 1KAC V,WEISFEILER B.Coadjoint action of a semisimple algebraic group and the center of the enveloping algebra in characteristic p[J].Indag Math,1976,38:136-151.
  • 2FRIEDLANDER E M,PARSHALL B.Modular representation theory of Lie algebras[J].Amer J Math,1988,110:1055-1093.
  • 3JANTZEN J C.Representations of Lie algebras in prime characteristic[C]//Proceedings of Representation Theories and Algebraic Geometry,Montreal:NATO ASI,1997.
  • 4JANTZEN J C.Representations of algebraic groups[M].2nd ed.Providence,RI:AMS,2003.
  • 5CLINE E.On injective modules for infinitesimal algebraic groups,II[J].J Algebra,1990,134:271-297.
  • 6ERDMANN K.Ext~1 for Weyl modules for SL_2(k)[J].Math Zeit,1995,218:447-459.
  • 7CLINE E,PARSHALL B,SCOTT L.On Ext-transfer for Algebraic groups[J].Transformation Groups,2004,9(3):213-236.
  • 8JANTZEN J C.Modular representations of reductive Lie algebras[J].J Pure Appl Algebra,2000,152:133-185.

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