ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE A (n,n)

被引：5

作者：

Beites, Patricia D. ^{[1
]}

Pozhidaev, Alexander P. ^{[2
,3
]}

机构：

[1] Univ Beira Interior, Dept Matemat, Rua Marques DAvila Bolama, P-6201001 Covilha, Portugal

[2] Sobolev Inst Math, Novosibirsk 630090, Russia

[3] Novosibirsk State Univ, Novosibirsk 630090, Russia

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2008年 / 1卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Filippov superalgebra; n-Lie (super)algebra; (semi)simple (super)algebra; irreducible module over a Lie superalgebra;

D O I：

10.1142/S1793557108000394

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that there exist no simple finite-dimensional Filippov superalgebras of type A(n;n) over an algebraically closed field of characteristic 0.

引用

页码：469 / 487

页数：19

共 11 条

[1]

Daletskii Yu., 1996, DOP NAN UKR, V4, P12

[2]

FILIPPOV VT, 1985, SIBERIAN MATH J+, V26, P879

[3] On Filippov algebroids and multiplicative Nambu-Poisson structures [J].

Grabowski, J ;

Marmo, G .

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2000, 12 (01) :35-50

[4]

Jacobson N., 1962, LE ALGEBRAS

[5] LIE SUPER-ALGEBRAS [J].

KAC, VG .

ADVANCES IN MATHEMATICS, 1977, 26 (01) :8-96

[6]

Pojidaev A.P., 2008, ALGEBRA LOGIKA+, V47, P240

[7]

Pojidaev A.P., PORT MATH IN PRESS

[8] ON SIMPLE FILIPPOV SUPERALGEBRAS OF TYPE B(0, n) [J].

Pojidaev, Alexandre P. .

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2003, 2 (03) :335-349

[9] Enveloping algebras of Filippov algebras [J].

Pojidaev, AP .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (02) :883-900

[10] Solvability of finite-dimensional n-ary commutative Leibniz algebras of characteristic 0 [J].

Pojidaev, AP .

COMMUNICATIONS IN ALGEBRA, 2003, 31 (01) :197-215

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