Über homogene nilpotente Polynome. (On homogeneous nilpotent polynomials). (German) Zbl 0613.17001
Die homogenen nilpotenten Polynomabbildungen eines zweidimensionalen reellen oder komplexen Vektorraums in sich werden mit Hilfe einer zugeordneten Differentialgleichung bestimmt.
MSC:
| 17A01 | General theory of nonassociative rings and algebras |
| 17A30 | Nonassociative algebras satisfying other identities |
| 34A05 | Explicit solutions, first integrals of ordinary differential equations |
Keywords:
nilpotent polynomialsReferences:
| [1] | H. Bass undG. Meisters, Polynomial flows in the plane. Advances in Math.55 (1985), 173–208. · Zbl 0557.34044 · doi:10.1016/0001-8708(85)90020-9 |
| [2] | J. Dorfmeister undJ. Heinze, Umkehrbare und nilpotente Polynome. Abh. Math. Sem. der Univ. Hamburg53 (1983), 170–190. · Zbl 0506.58003 · doi:10.1007/BF02941318 |
| [3] | S. Walcher, Durch Riccatische Differentialgleichungen definierte Algebren. Dissertation, TU München (1985). · Zbl 0576.17003 |
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