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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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