Research output: Contribution to journal › Article

Journal | Comm. Math. Phys. |
---|---|

Date | Published - May 1996 |

Issue number | 2 |

Volume | 178 |

Number of pages | 24 |

Pages (from-to) | 483-506 |

Original language | English |

We study analogues of the Yangian of the Lie algebra gl N for the other

classical Lie algebras ~o x and 6pN. We call them twisted Yangians. They are

coideal subalgebras in the Yangian of glN and admit homomorphisms onto the

universal enveloping algebras U(~0N) and U(~PN ) respectively. In every twisted

Yangian we construct a family of maximal commutative subalgebras parametrized

by the regular semisimple elements of the corresponding classical Lie algebra. The

images in U(~ox) and U(~PN ) of these subalgebras are also maximal commutative.

classical Lie algebras ~o x and 6pN. We call them twisted Yangians. They are

coideal subalgebras in the Yangian of glN and admit homomorphisms onto the

universal enveloping algebras U(~0N) and U(~PN ) respectively. In every twisted

Yangian we construct a family of maximal commutative subalgebras parametrized

by the regular semisimple elements of the corresponding classical Lie algebra. The

images in U(~ox) and U(~PN ) of these subalgebras are also maximal commutative.

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