Graded multiple analogs of Lie algebras

被引：8

作者：

Vinogradov, AM

Vinogradov, MM

机构：

[1] Univ Salerno, Dipartimento Matemat & Informat, I-84081 Baronissi, SA, Italy

[2] Ist Nazl Fis Nucl, Sez Napoli, Salerno, Italy

[3] Diffiety Inst, Moscow 117418, Russia

[4] Inst Econ Forecasting, Moscow 117418, Russia

来源：

ACTA APPLICANDAE MATHEMATICAE | 2002年 / 72卷 / 1-2期

关键词：

(multi) Lie algebra; (multi) Poisson manifold; (multi) Jacobi identity; (graded) Richardson-Nijenhuis bracket; Nambu mechanics;

D O I：

10.1023/A:1015281004171

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Graded analogs of (n,k,r)-Lie algebras (in particular, of Nambu-Lie algebras), introduced by the authors, are defined and their general property are studied.

引用

页码：183 / 197

页数：15

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