Algebraic groups associated with graded Lie algebras of Cartan type

被引：0

作者：

Shen, GY ^{[1
]}

Shu, B

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Shanghai Maritime Univ, Inst Appl Math & Phys, Shanghai 200135, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 1998年 / 19卷 / 03期

关键词：

algebraic groups; Cartan type Lie algebras;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a graded simple Lie algebra of Cartan type L = X(m : n)((2)), X is an element of {W, S, H, K}, over a field F of odd characteristic p, the group generated by one-parameter subgroups of the form exp(tady) is described, where y is an element of L + Fu satisfying y(p) = 0, t is an element of F and u is some fixed element of the p-envelope of L in DerU(m : n).

引用

页码：293 / 298

页数：6

共 16 条

[1]

CHIU S, 1992, CHINESE ANN MATH B, V13, P16

[2] THE ASSOCIATIVE FORMS OF THE GRADED CARTAN TYPE LIE-ALGEBRAS [J].

FARNSTEINER, R .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 295 (01) :417-427

[3]

Groos-Uffenorde, 1991, B AM MATH SOC, V24, P337

[4] THE GRADED MODULES FOR THE GRADED CONTACT CARTAN ALGEBRAS [J].

HU, N .

COMMUNICATIONS IN ALGEBRA, 1994, 22 (11) :4475-4497

[5]

HU N, 1994, COMMUN ALGEBRA, V22, P5951

[6]

Humphreys J., 1981, Linear algebraic groups

[7]

Humphreys J. E., 1967, MEM AM MATH SOC, V71

[8]

HUMPHREYS JE, 1975, LINEAR ALGEBRAIC GRO

[9]

Premet A., 1985, MATH USSR SB, V50, P85

[10] QUADRATIC MODULES FOR CHEVALLEY-GROUPS OVER FIELDS OF ODD CHARACTERISTICS [J].

PREMET, AA ;

SUPRUNENKO, ID .

MATHEMATISCHE NACHRICHTEN, 1983, 110 :65-96

← 1 2 →