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JOURNALS // Regular and Chaotic Dynamics // Archive

Regul. Chaotic Dyn., 2007 Volume 12, Issue 6, Pages 732–735 (Mi rcd651)

This article is cited in 5 papers

On the 65th birthday of R.Cushman

Stanley Decomposition of the Joint Covariants of Three Quadratics

Jan A. Sanders

Department of Mathematics, Faculty of Sciences, Vrije Universiteit, De Boelelaan 1081a, 1081 HVAmsterdam, The Netherlands

Abstract: The Stanley decomposition of the joint covariants of three quadratics is computed using a new transvectant algorithm and computer algebra. This is sufficient to compute the general form of the normal form with respect to a nilpotent with three 3-dimensional irreducible blocks.

Keywords: joint covariant, quadratic, nilpotent normal form.

MSC: 13A50, 34E10

Received: 14.06.2007
Accepted: 28.08.2007

Language: English

DOI: 10.1134/S1560354707060135



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