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 journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)259-268
Number of pages10
JournalLetters in Mathematical Physics
Issue number3
StatePublished - Nov 1994
Externally publishedYes


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

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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