Geodesic
Classical integrable systems amd automorphisms of representations of $SL(2)$
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 260-272

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Outer automorphisms of infinite-dimensional representations of $sl(2)$ algebra are applied to produce some classical integrable systems with continuous and discrete time. The associated Lax pairs and $r$-matrix algebras are constructed. 
@article{ZNSL_1998_251_a16,
     author = {A. V. Tsiganov},
     title = {Classical integrable systems amd automorphisms of representations of $SL(2)$},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {260--272},
     publisher = {mathdoc},
     volume = {251},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/}
}
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A. V. Tsiganov. Classical integrable systems amd automorphisms of representations of $SL(2)$. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 15, Tome 251 (1998), pp. 260-272. http://geodesic.mathdoc.fr/item/ZNSL_1998_251_a16/