99-317 Giuseppe Gaeta
Poincare' normal forms and simple compact Lie groups (319K, PS) Aug 30, 99
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Abstract. We classify the possible behaviour of Poincar\'e-Dulac normal forms for dynamical systems in $R^n$ with nonvanishing linear part and which are equivariant under (the fundamental representation of) all the simple Lie algebras and thus the corresponding simple Lie groups. We also briefly discuss the convergence of the normalizing (and where appropriate also renormalizing) transformations.

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