Publication

Integrable G-strands on semisimple Lie groups

Tudor Ratiu, François Gay-Balmaz
2014
Journal paper

Abstract

The present paper derives systems of partial differential equations that admit a quadratic zero curvature representation for an arbitrary real semisimple Lie algebra. It also determines the general form of Hamilton's principles and Hamiltonians for these systems, and analyzes the linear stability of their equilibrium solutions in the examples of so(3) and sl(2, R).

Official source

https://infoscience.epfl.ch/record/198368?ln=en

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Integrable G-strands on semisimple Lie groups

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Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case

Multiplicity-free Representations of Algebraic Groups

Almost cyclic regular semisimple elements in irreducible representations of simple algebraic groups

Lie groups in the symmetric group: Reducing Ulam's problem to the simple case