AD-NILPOTENT ELEMENTS, ISOMORPHISMS, AND THE WEISFEILER FILTRATION OF INFINITE-DIMENSIONAL MODULAR ODD CONTACT SUPERALGEBRAS

被引：4

作者：

Mu, Qiang ^{[1
,2
]}

Ren, Li ^{[2
]}

Zhang, Yongzheng ^{[2
]}

机构：

[1] Harbin Normal Univ, Sch Math Sci, Harbin 150025, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 10期

关键词：

Ad-nilpotent element; Automorphism; Filtration; CARTAN-TYPE; LIE-SUPERALGEBRAS; ALGEBRAS; CLASSIFICATION;

D O I：

10.1080/00927872.2010.502162

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Weisfeiler filtrations of infinite-dimensional odd contact superalgebras over fields of positive characteristic are proved to be invariant under automorphisms by characterizing ad-nilpotent elements. Thereby, we are able to obtain an intrinsic characterization of odd contact superalgebras and a property of automorphisms of these Lie superalgebras.

引用

页码：3581 / 3593

页数：13

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