Publications of the Research Institute for Mathematical Sciences

On Hecke algebras associated with elliptic root systems and the double affine Hecke algebras

Yoshihisa Saito and Midori Shiota

Source: Publ. Res. Inst. Math. Sci. Volume 45, Number 3 (2009), 845-906.

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

Primary Subjects: 17B35
Secondary Subjects: 14D30, 16G20

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.prims/1249478967
Digital Object Identifier: doi:10.2977/prims/1249478967
Zentralblatt MATH identifier: 05625041


2009 © Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences

Publications of the Research Institute for Mathematical Sciences