On Strong Stability of Linear Poisson Actions
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GLAVAN, Vasile, RZESZOTKO, Z. On Strong Stability of Linear Poisson Actions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2003, nr. 2(42), pp. 5-12. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(42) / 2003 / ISSN 1024-7696 /ISSNe 2587-4322

On Strong Stability of Linear Poisson Actions

Pag. 5-12

Glavan Vasile, Rzeszotko Z
 
Moldova State University
 
 
Disponibil în IBN: 7 decembrie 2013


Rezumat

Linear Poisson actions of the group Rm are considered. Conditions on the joint spectrum of the generators and on the centralizers assuring stability and strong stability of the action are given. We give also some examples of Poisson actions using CAS ”Mathematica”.

Cuvinte-cheie
linear Poisson action, Hamiltonian polyoperator, joint spectrum, strong stability.