An elliptic quantum algebra for {Mathematical expression}2 - Dedicated to the memory of Ansgar Schnizer

Omar Foda; Kenji Iohara; Michio Jimbo; Rinat Kedem; Tetsuji Miwa; Hong Yan

doi:10.1007/BF00750668

An elliptic quantum algebra for {Mathematical expression}₂ - Dedicated to the memory of Ansgar Schnizer

Omar Foda, Kenji Iohara, Michio Jimbo, Rinat Kedem, Tetsuji Miwa, Hong Yan

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

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	https://doi.org/10.1007/BF00750668
State	Published - Nov 1994
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Access to Document

10.1007/BF00750668

Cite this

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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.",

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AU - Kedem, Rinat

AU - Miwa, Tetsuji

AU - Yan, Hong

PY - 1994/11

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AB - 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.

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