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math.RT2020
Normal form for maps with nilpotent linear part
Fahimeh Mokhtari, Ernst Roell, Jan Sanders
The normal form for an n-dimensional map with irreducible nilpotent linear part is determined using sl2-representation theory. We sketch by example how the reducible case can also…
math.RT2019
Equivariant decomposition of polynomial vector fields
Fahimeh Mokhtari, Jan A. Sanders
To compute the unique formal normal form of families of vector fields with nilpotent linear part, we choose a basis of the Lie algebra consisting of orbits under the linear nilpote…