### Abstract

An elliptic deformation of {Mathematical expression} is proposed. Our presentation of the algebra is based on the relation RLL = LLR^{*}, where R and R^{*} are eight-vertex R-matrices with the elliptic moduli chosen differently. In the trigonometric limit, this algebra reduces to a quotient of that proposed by Reshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest-weight modules and vertex operators are formulated, and the physical interpretation of R^{*} is discussed.

Original language | English (US) |
---|---|

Pages (from-to) | 259-268 |

Number of pages | 10 |

Journal | Letters in Mathematical Physics |

Volume | 32 |

Issue number | 3 |

DOIs | |

State | Published - Nov 1 1994 |

Externally published | Yes |

### Keywords

- Mathematics Subject Classifications (1991): 17B37, 82A67

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics

## Fingerprint Dive into the research topics of 'An elliptic quantum algebra for {Mathematical expression}<sub>2</sub> - Dedicated to the memory of Ansgar Schnizer'. Together they form a unique fingerprint.

## Cite this

Foda, O., Iohara, K., Jimbo, M., Kedem, R., Miwa, T., & Yan, H. (1994). An elliptic quantum algebra for {Mathematical expression}

_{2}- Dedicated to the memory of Ansgar Schnizer.*Letters in Mathematical Physics*,*32*(3), 259-268. https://doi.org/10.1007/BF00750668