Journal of Lie Theory

no. 1
Macdonald Identities: Revisited
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 
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     author = {K. Iohara and Y. Saito},
     title = {Macdonald {Identities:} {Revisited}},
     journal = {Journal of Lie Theory},
     pages = {191--205},
     year = {2025},
     volume = {35},
     number = {1},
     doi = {10.5802/jolt.1379},
     zbl = {1567.17036},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1379/}
}
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K. Iohara; Y. 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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