Elliptic Hecke algebras and modified Cherednik algebras.

DOI10.3792/pjaa.79.80zbMath1045.22019OpenAlexW2038669153MaRDI QIDQ1432828

Tadayoshi Takebayashi

Publication date: 22 June 2004

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.pja/1116443658

zbMATH Keywords

double affine Hecke algebraselliptic Hecke algebrasmodified Cherednik algebras

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• Extended affine root systems. I: Coxeter transformations
• Intertwining operators of double affine Hecke algebras
• Residue construction of Hecke algebras
• Elliptic root system and elliptic Artin group.
• Double affine Hecke algebras and Macdonald's conjectures
• Double affine Hecke algebras and elliptic Hecke algebras.
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Lectures on affine Hecke algebras and Macdonald’s conjectures
• Double affine Hecke algebras and 2-dimensional local fields

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