Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models

Yasushi Komori; Kazuhiro Hikami

doi:10.1023/A:1007452800428

Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models

Yasushi Komori, Kazuhiro Hikami

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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
Pages (from-to)	335-346
Number of pages	12
Journal	Letters in Mathematical Physics
Volume	43
Issue number	4
DOIs	https://doi.org/10.1023/A:1007452800428
Publication status	Published - Mar 1998
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1023/A:1007452800428

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title = "Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models",

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.",

author = "Yasushi Komori and Kazuhiro Hikami",

year = "1998",

month = mar,

doi = "10.1023/A:1007452800428",

language = "English",

volume = "43",

pages = "335--346",

journal = "Letters in Mathematical Physics",

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

AU - Komori, Yasushi

AU - Hikami, Kazuhiro

PY - 1998/3

Y1 - 1998/3

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.

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U2 - 10.1023/A:1007452800428

DO - 10.1023/A:1007452800428

M3 - Article

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EP - 346

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

IS - 4

ER -

Affine R-Matrix and the Generalized Elliptic Ruijsenaars Models

Abstract

All Science Journal Classification (ASJC) codes

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