Title | Classical double, R-operators, and negative flows of integrable hierarchies |

Publication Type | Journal Article |

Year of Publication | 2012 |

Authors | Dubrovin, B, Skrypnyk, TV |

Journal | Theoretical and Mathematical Physics. Volume 172, Issue 1, July 2012, Pages 911-931 |

Abstract | Using the classical double G of a Lie algebra g equipped with the classical R-operator, we define two sets of functions commuting with respect to the initial Lie–Poisson bracket on g and its extensions. We consider examples of Lie algebras g with the “Adler–Kostant–Symes” R-operators and the two corresponding sets |

URL | http://hdl.handle.net/1963/6468 |

DOI | 10.1007/s11232-012-0086-6 |

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