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• W2754357737 abstract "For an almost split Kac-Moody group G over a local non-archimedean field, the last two authors constructed a spherical Hecke algebra H (over the complex numbers C, say) and its Satake isomorphism with the commutative algebra of Weyl invariant elements in some formal series algebra C[[Y]].In this article, we prove a Macdonald's formula, i.e. an explicit formula for the image of a basis element of H. The proof involves geometric arguments in the masure associated to G and algebraic tools, including the Cherednik's representation of the Bernstein-Lusztig-Hecke algebra (introduced in a previous article) and the Cherednik's identity between some symmetrizers." @default.
• W2754357737 created "2017-09-25" @default.
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• W2754357737 date "2019-02-12" @default.
• W2754357737 modified "2023-10-18" @default.
• W2754357737 title "Macdonald's formula for Kac–Moody groups over local fields" @default.
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• W2754357737 doi "https://doi.org/10.1112/plms.12231" @default.
• W2754357737 hasPublicationYear "2019" @default.
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