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Isotropy group of Lotka-Volterra derivations

math.RA · 2024-12-30 · conditional · novelty 7.0

For Lotka-Volterra derivations of K[x_1,...,x_n], the group of commuting polynomial automorphisms is finite for n≠4 and is classified, while for n=4 with C_i=-1 it is infinite.

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  • Isotropy group of Lotka-Volterra derivations math.RA · 2024-12-30 · conditional · none · ref 8

    For Lotka-Volterra derivations of K[x_1,...,x_n], the group of commuting polynomial automorphisms is finite for n≠4 and is classified, while for n=4 with C_i=-1 it is infinite.