### Abstract

An infinite-dimensional R matrix related to the limiting case n→∞ of the completely ℤ_{n} symmetric R matrix is discovered. This R matrix is expressed as an operator on C^{∞}(S^{1}×S^{1}). Moreover, the fusion procedure of the R-operator is investigated and the finite-dimensional R matrices are constructed from the R operator.

Original language | English |
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Pages (from-to) | 239-248 |

Number of pages | 10 |

Journal | Letters in Mathematical Physics |

Volume | 25 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1992 Jul |

### Fingerprint

### Keywords

- Mathematics Subject Classifications (1991): Primary 81R50, 82B23, Secondary 17B37, 82B20

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

*Letters in Mathematical Physics*,

*25*(3), 239-248. https://doi.org/10.1007/BF00406551

**Completely ℤ symmetric R matrix.** / Shibukawa, Youichi; Ueno, Kimio.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 25, no. 3, pp. 239-248. https://doi.org/10.1007/BF00406551

}

TY - JOUR

T1 - Completely ℤ symmetric R matrix

AU - Shibukawa, Youichi

AU - Ueno, Kimio

PY - 1992/7

Y1 - 1992/7

N2 - An infinite-dimensional R matrix related to the limiting case n→∞ of the completely ℤn symmetric R matrix is discovered. This R matrix is expressed as an operator on C∞(S1×S1). Moreover, the fusion procedure of the R-operator is investigated and the finite-dimensional R matrices are constructed from the R operator.

AB - An infinite-dimensional R matrix related to the limiting case n→∞ of the completely ℤn symmetric R matrix is discovered. This R matrix is expressed as an operator on C∞(S1×S1). Moreover, the fusion procedure of the R-operator is investigated and the finite-dimensional R matrices are constructed from the R operator.

KW - Mathematics Subject Classifications (1991): Primary 81R50, 82B23, Secondary 17B37, 82B20

UR - http://www.scopus.com/inward/record.url?scp=0000571050&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000571050&partnerID=8YFLogxK

U2 - 10.1007/BF00406551

DO - 10.1007/BF00406551

M3 - Article

AN - SCOPUS:0000571050

VL - 25

SP - 239

EP - 248

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -