### Abstract

Commutative elliptic difference operators associated with the affine root systems are constructed in terms of affine R-matrices. These operators describe the Ruijsenaars models with elliptic potentials and reduce to the Macdonald operators in the trigonometric limit.

Original language | English |
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Pages (from-to) | 335-346 |

Number of pages | 12 |

Journal | Letters in Mathematical Physics |

Volume | 43 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jan 1 1998 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*Letters in Mathematical Physics*,

*43*(4), 335-346. https://doi.org/10.1023/A:1007452800428

**Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models.** / Komori, Yasushi; Hikami, Kazuhiro.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 43, no. 4, pp. 335-346. https://doi.org/10.1023/A:1007452800428

}

TY - JOUR

T1 - Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models

AU - Komori, Yasushi

AU - Hikami, Kazuhiro

PY - 1998/1/1

Y1 - 1998/1/1

N2 - Commutative elliptic difference operators associated with the affine root systems are constructed in terms of affine R-matrices. These operators describe the Ruijsenaars models with elliptic potentials and reduce to the Macdonald operators in the trigonometric limit.

AB - Commutative elliptic difference operators associated with the affine root systems are constructed in terms of affine R-matrices. These operators describe the Ruijsenaars models with elliptic potentials and reduce to the Macdonald operators in the trigonometric limit.

UR - http://www.scopus.com/inward/record.url?scp=0000087807&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000087807&partnerID=8YFLogxK

U2 - 10.1023/A:1007452800428

DO - 10.1023/A:1007452800428

M3 - Article

AN - SCOPUS:0000087807

VL - 43

SP - 335

EP - 346

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 4

ER -