FINITE-DIMENSIONAL SIMPLE LIE-ALGEBRAS WITH A NONSINGULAR DERIVATION

被引：24

作者：

BENKART, G

KOSTRIKIN, AI

KUZNETSOV, MI

机构：

[1] MOSCOW MV LOMONOSOV STATE UNIV, DEPT MATH, MOSCOW 119899, RUSSIA

[2] NIZHNY NOVGOROD STATE UNIV, DEPT MATH, NIZHNII NOVGOROD 603000, RUSSIA

来源：

JOURNAL OF ALGEBRA | 1995年 / 171卷 / 03期

关键词：

D O I：

10.1006/jabr.1995.1041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the known finite-dimensional simple Lie algebras of characteristic p > 3 and determine all finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p > 7 admitting a nonsingular derivation. We also show that the Z/(p(n) - 1)Z-graded simple Lie algebras which admit a nonsingular derivation must be of Hamiltonian type. (C) 1995 Academic Press, Inc.

引用

页码：894 / 916

页数：23

共 29 条

[1] ISOMORPHISM-CLASSES OF HAMILTONIAN LIE-ALGEBRAS [J].

BENKART, GM ;

GREGORY, TB ;

OSBORN, JM ;

STRADE, H ;

WILSON, RL .

LECTURE NOTES IN MATHEMATICS, 1989, 1373 :42-57

[2]

DEMUSKIN SP, 1972, MATH USSR IZV, V6, P905, DOI DOI 10.1070/IM1972V006N05ABEH001906

[3]

Huppert B., 1982, FINITE GROUPS

[4]

Jacobson N., 1962, LIE ALGEBRAS

[5]

Jacobson N., 1955, P AM MATH SOC, V6, P281, DOI 10.1090/S0002-9939-1955-0068532-9

[6] CORRECTION [J].

KAC, VG .

MATHEMATICS OF THE USSR-IZVESTIYA, 1976, 10 (06) :1339-1339

[7]

KAC VG, 1976, IZV AKAD NAUK SSSR M, V40, P1415

[8]

KIRILLOV SA, 1989, IPF247 AK NAUK SSSR

[9]

KIRILLOV SA, 1990, IPF257 AK NAUK SSSR

[10]

Kostrikin A.I., 1969, MATH USSR IZV, V3, P237

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