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A Lie algebraic setting for Miura maps related to an energy dependent linear problem

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Abstract

We study the affine semi-direct product, vECT(S 1⋉S 1, ℝ⊗ℂ(λ, λ −1)) and show how the coadjoint action on its extended dual leads immediately to a generalisation of the Miura map and also to the existence of several compatible Hamiltonian structures.

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Authors and Affiliations

  1. School of Mathematics, University of Leeds, LS2 9JT, Leeds, UK

    Ian Marshall

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  1. Ian Marshall
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Communicated by H. Araki

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Marshall, I. A Lie algebraic setting for Miura maps related to an energy dependent linear problem. Commun.Math. Phys. 133, 509–520 (1990). https://doi.org/10.1007/BF02097007

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  • DOI: https://doi.org/10.1007/BF02097007

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