Commuting difference operators arising from the elliptic C(1)2-face model

Koji Hasegawa; Takeshi Ikeda; Tetsuya Kikuchi

doi:10.1063/1.532986

Commuting difference operators arising from the elliptic C⁽¹⁾₂-face model

Koji Hasegawa^*, Takeshi Ikeda, Tetsuya Kikuchi

^*Corresponding author for this work

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

Abstract

We study a pair of commuting difference operators arising from the elliptic C⁽¹⁾₂-face model. The operators, whose coefficients are expressed in terms of the Jacobi's elliptic theta function, act on the space of meromorphic functions on the weight space of the C₂-type simple Lie algebra. We show that the space of functions spanned by the level one characters of the affine Lie algebra sp∧(4,C) is invariant under the action of the difference operators.

Original language	English
Pages (from-to)	4549-4568
Number of pages	20
Journal	Journal of Mathematical Physics
Volume	40
Issue number	9
DOIs	https://doi.org/10.1063/1.532986
Publication status	Published - 1999 Sept
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.532986

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abstract = "We study a pair of commuting difference operators arising from the elliptic C(1)2-face model. The operators, whose coefficients are expressed in terms of the Jacobi's elliptic theta function, act on the space of meromorphic functions on the weight space of the C2-type simple Lie algebra. We show that the space of functions spanned by the level one characters of the affine Lie algebra sp∧(4,C) is invariant under the action of the difference operators.",

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Commuting difference operators arising from the elliptic C⁽¹⁾₂-face model

Abstract

ASJC Scopus subject areas

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