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arXiv · 1512.07661

Wei-Norman equations for classical groups via cominuscule induction

J. Gutt·S. Charzyński·M. Kuś
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Abstract

We show how to reduce the nonlinear Wei-Norman equations, expressing the solution of a linear system of non-autonomous equations on a Lie algebra, to a hierarchy of matrix Riccati equations using the cominuscule induction. The construction works for all reductive Lie algebras with no simple factors of type G2, F4 or E8. A corresponding hierarchy of nonlinear, albeit no longer Riccati equations, is given for these exceptional cases.

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J. Gutt, S. Charzyński, M. Kuś. 2015-12-23. Wei-Norman equations for classical groups via cominuscule induction. https://doi.org/10.1016/j.difgeo.2015.07.001

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