| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 9497353 | Journal of Pure and Applied Algebra | 2005 | 10 Pages |
Abstract
The identities of the form âIcIÏ(xi1,â¦,xin)Ï(xin+1,â¦,xi2n)=0, where Ï is an antisymmetric bracket operation, are classified in the language of irreducible S2n modules. This classification implies that the notions of strong n-Lie-Poisson and n-Lie-Poisson algebras coincide if and only if n is odd. This is the answer to a problem of Dzhumadil'daev.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
MikoÅaj Rotkiewicz,