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.
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页码：183 / 197
页数：15
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