- 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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