Geodesic
Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 191-201

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The Hamiltonian property and integrability of the Lax equations with spectral parameter on a Riemann surface are considered. The operators of Lax pairs are meromorphic functions of special form on a Riemann surface of arbitrary positive genus with values in an arbitrary semisimple Lie algebra. The study combines the theory of Lax equations with spectral parameter on a Riemann surface, as proposed by I.M. Krichever in 2001, with a “group-theoretic approach.” 
@article{TM_2015_290_a15,
     author = {O. K. Sheinman},
     title = {Semisimple {Lie} algebras and {Hamiltonian} theory of finite-dimensional {Lax} equations with spectral parameter on a {Riemann} surface},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {191--201},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a15/}
}
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O. K. Sheinman. Semisimple Lie algebras and Hamiltonian theory of finite-dimensional Lax equations with spectral parameter on a Riemann surface. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 191-201. http://geodesic.mathdoc.fr/item/TM_2015_290_a15/