## Abstract

In this paper, we construct a Q-operator as a trace of a representation of the universal A-matrix of U_{q}(S-frakturl_{2}) over an infinite-dimensional auxiliary space. This auxiliary space is a four-parameter generalization of the q-oscillator representations used previously. We derive generalized T-Q relations in which three of these parameters shift. After a suitable restriction of parameters, we give an explicit expression for the Q-operator of the 6-vertex model and show the connection with Baxter's expression for the central block of his corresponding operator.

Original language | English |
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Pages (from-to) | 10015-10032 |

Number of pages | 18 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 35 |

Issue number | 47 |

DOIs | |

Publication status | Published - 12 Nov 2002 |

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