Journal of Lie Theory 35 (2025), No. 1, 191--205
Copyright Heldermann Verlag 2025
Macdonald Identities: Revisited
Kenju Iohara
Institut Camille Jordan, Université Claude Bernard, Lyon, Villeurbanne, France
iohara@math.univ-lyon1.fr
Yoshihisa Saito
Dept. of Mathematics, Rikkyo University, Tokyo, Japan
yoshihisa@rikkyo.ac.jp
After recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.
Keywords: Affine root system, Coxeter element, Dedekind eta-function, Macdonald identity.
MSC: 17B22; 11F20, 17B67.
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