The foundation: the algebraic integrability conditions

Konrad Schöbel ()
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Konrad Schöbel: Friedrich-Schiller-Universität Jena

Chapter 1 in An Algebraic Geometric Approach to Separation of Variables, 2015, pp 25-54 from Springer

Abstract: Abstract In this chapter we translate the Nijenhuis integrability conditions for a Killing tensor on a constant curvature manifold into algebraic conditions on the corresponding algebraic curvature tensors. To this end, we substitute (0.7) into (0.2) and both into (0.3) and then use the representation theory for general linear groups to get rid of the dependence on the base point in the manifold.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-658-11408-4_2

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DOI: 10.1007/978-3-658-11408-4_2

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