Commuting difference operators arising from the elliptic C_2^{(1)}-face model

Details Commuting difference operators arising from the elliptic C_2^{(1)}-face model Commuting difference operators arising from the elliptic C_2^{(1)}-face model

1998-10-09

arxiv.org/abs/math/9810062v2

Mathematics

Quantum Algebra

latex2e file, 19 pages, no figures; added references

Scientific paper

10.1063/1.532986

We study a pair of commuting difference operators arising from the elliptic C_2^{(1)}-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 C_2 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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