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- W2963605207 abstract "We introduce and study some affine Hecke algebras of type ADE, generalising the affine Hecke algebras of GL. We construct irreducible calibrated representations and describe the calibrated spectrum. This is done in terms of new families of combinatorial objects equipped with actions of the corresponding Weyl groups. These objects are built from and generalise the usual standard Young tableaux, and are controlled by the considered affine Hecke algebras. By restriction and limiting procedure, we obtain several combinatorial models for representations of finite Hecke algebras and Weyl groups of type ADE. Representations are constructed by explicit formulas, in a seminormal form." @default.
- W2963605207 created "2019-07-30" @default.
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- W2963605207 date "2017-01-01" @default.
- W2963605207 modified "2023-09-25" @default.
- W2963605207 title "Young tableaux and representations of Hecke algebras of type ADE" @default.
- W2963605207 doi "https://doi.org/10.4171/jca/1-4-2" @default.
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