Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic

被引：0

作者：

ZHANG YongzhengDepartment of Mathematics

机构：

来源：

ChineseScienceBulletin | 1997年 / 09期

关键词：

exterior algebra; Lie superalgebra; filtration;

D O I：

暂无

中图分类号：

O152.5 [李群];

学科分类号：

摘要：

IN this note the infinite-dimensional Lie superalgebras of Cartan type X(m,n)(X=W,S,H or K)over field F of prime characteristic are constructed.Then the second class of finite-dimensional Lie superalgebras of Cartan type over F is defined.Their simplicity and re-strictability are discussed.Finally a conjecture about classification of the finite-dimensional

引用

页码：720 / 724

页数：5

共 50 条

[1] Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
Zhang, YZ
CHINESE SCIENCE BULLETIN, 1997, 42 (09): : 720 - 724
[2] Finite-dimensional Lie superalgebras of Cartan type over fields of prime characteristic
Chin Sci Bull, 9 (720):
[3] FINITE-DIMENSIONAL SPECIAL CONTACT SUPERALGEBRAS OF ODD TYPE OVER A FIELD OF PRIME CHARACTERISTIC
Yuan, Jixia
Liu, Wende
Cao, Yan
COLLOQUIUM MATHEMATICUM, 2019, 155 (02) : 255 - 266
[4] Finite-Dimensional Odd Contact Superalgebras over a Field of Prime Characteristic
Chen, Yan
Liu, Wende
JOURNAL OF LIE THEORY, 2011, 21 (03) : 729 - 754
[5] Maximal subalgebras of Lie superalgebras of Cartan type over fields of characteristic zero
Bai, Wei
Liu, Wende
Melikyan, Hayk
JOURNAL OF ALGEBRA, 2014, 404 : 176 - 199
[6] THE MINIMAL NUMBER OF GENERATORS FOR FINITE-DIMENSIONAL CARTAN LIE SUPERALGEBRAS
Tan, Liming
Liu, Wende
COLLOQUIUM MATHEMATICUM, 2019, 158 (02) : 305 - 312
[7] Simple finite-dimensional Jordan superalgebras of prime characteristic
Martinez, C
Zelmanov, E
JOURNAL OF ALGEBRA, 2001, 236 (02) : 575 - 629
[8] The outer derivation algebras of finite-dimensional Cartan-type modular Lie superalgebras
Liu, WD
Zhang, YZ
COMMUNICATIONS IN ALGEBRA, 2005, 33 (07) : 2131 - 2146
[9] FINITE-DIMENSIONAL SPECIAL ODD HAMILTONIAN SUPERALGEBRAS IN PRIME CHARACTERISTIC
Liu, Wende
He, Yinghua
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2009, 11 (04) : 523 - 546
[10] A Class of Finite-dimensional Lie Superalgebras of Hamiltonian Type
Ren, Li
Mu, Qiang
Zhang, Yongzheng
ALGEBRA COLLOQUIUM, 2011, 18 (02) : 347 - 360

← 1 2 3 4 5 →