Journal of Lie Theory

no. 1
Macdonald Identities: Revisited
Kenji Iohara1; Yoshihisa Saito2
1Institut Camille Jordan, Université Claude Bernard, Lyon, Villeurbanne, France
2Dept. of Mathematics, Rikkyo University, Tokyo, Japan
Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 191-205
After recalling a proof of the Macdonald identities for untwisted affine root systems, we derive the Macdonald identities for twisted affine root systems.
DOI: 10.5802/jolt.1379
Classification: 17B22, 11F20, 17B67
Keywords: Affine root system, Coxeter element, Dedekind eta-function, Macdonald identity

Kenji Iohara  1 ; Yoshihisa Saito  2

1 Institut Camille Jordan, Université Claude Bernard, Lyon, Villeurbanne, France
2 Dept. of Mathematics, Rikkyo University, Tokyo, Japan 
Kenji Iohara; Yoshihisa Saito. Macdonald Identities: Revisited. Journal of Lie Theory, Volume 35 (2025) no. 1, pp. 191-205. doi: 10.5802/jolt.1379
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