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

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 1 1994
Externally published	Yes

Fingerprint

Keywords

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

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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

@article{5c313277e03f45bfa9889d90a9b2cc3c,

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

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.",

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

author = "Omar Foda and Kenji Iohara and Michio Jimbo and Rinat Kedem and Tetsuji Miwa and Hong Yan",

year = "1994",

month = nov

day = "1",

doi = "10.1007/BF00750668",

language = "English (US)",

volume = "32",

pages = "259--268",

journal = "Letters in Mathematical Physics",

issn = "0377-9017",

publisher = "Springer Netherlands",

number = "3",

}

Access to Document

10.1007/BF00750668