Abstract
We define the elliptic Hecke algebras for arbitrary marked elliptic root systems in terms of the corresponding elliptic Dynkin diagrams and make a “dictionary” between the elliptic Hecke algebras and the double affine Hecke algebras.
Mathematics Subject Classifications (2000): Primary 17B35; Secondary 14D30, 16G20
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Saito, Y., Shiota, M. (2010). On Hecke Algebras Associated with Elliptic Root Systems. In: Gyoja, A., Nakajima, H., Shinoda, Ki., Shoji, T., Tanisaki, T. (eds) Representation Theory of Algebraic Groups and Quantum Groups. Progress in Mathematics, vol 284. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4697-4_12
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DOI: https://doi.org/10.1007/978-0-8176-4697-4_12
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