Abstract
We study a family of mutually commutative difference operators associated with affine root systems. These operators act on the space of meromorphic functions on the Cartan subalgebra of the affine Lie algebra. We show that the space spanned by characters of a fixed positive level is invariant under the action of these operators.
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Komori, Y. (2000). Theta Functions Associated with Affine Root Systems and the Elliptic Ruijsenaars Operators. In: Kashiwara, M., Miwa, T. (eds) Physical Combinatorics. Progress in Mathematics, vol 191. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1378-9_4
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DOI: https://doi.org/10.1007/978-1-4612-1378-9_4
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