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

共 11 条

[1] Infinite-dimensional modular special odd contact superalgebras
Mu, Qiang
Zhang, Yongzheng
JOURNAL OF PURE AND APPLIED ALGEBRA, 2010, 214 (08) : 1456 - 1468
[2] Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras
Jixia Yuan
Wende Liu
Frontiers of Mathematics in China, 2013, 8 : 203 - 216
[3] Filtration, automorphisms, and classification of infinite-dimensional odd contact superalgebras
Yuan, Jixia
Liu, Wende
FRONTIERS OF MATHEMATICS IN CHINA, 2013, 8 (01) : 203 - 216
[4] Infinite-dimensional modular odd hamiltonian superalgebras
Liu, WD
Zhang, YZ
COMMUNICATIONS IN ALGEBRA, 2004, 32 (06) : 2341 - 2357
[5] Natural Filtrations of Infinite-Dimensional Modular Contact Superalgebras
Mu, Qiang
JOURNAL OF APPLIED MATHEMATICS, 2014,
[6] ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
金宁
ScienceinChina,SerB., 1992, Ser.B.1992 (10) : 1191 - 1200
[7] ad-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
金宁
Science China Mathematics, 1992, (10) : 1191 - 1200
[8] AD-NILPOTENT ELEMENTS, QUASI-NILPOTENT ELEMENTS AND INVARIANT FILTRATIONS OF INFINITE DIMENSIONAL LIE-ALGEBRAS OF CARTAN TYPE
JIN, N
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1992, 35 (10): : 1191 - 1200
[9] On the Infinite-Dimensional Modular Lie Superalgebras of O-Type
Xu, Xiaoning
Zhao, Jing
ALGEBRA COLLOQUIUM, 2024, 31 (02) : 347 - 360
[10] MODULAR INVARIANT REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE-ALGEBRAS AND SUPERALGEBRAS
KAC, VG
WAKIMOTO, M
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1988, 85 (14) : 4956 - 4960

← 1 2 →