One-dimensional double Hecke algebra and Gaussian sums
Ivan Cherednik
Source: Duke Math. J. Volume 108, Number 3 (2001), 511-538.
Abstract
We introduce and describe one-dimensional cyclotomic Gauss-Selberg sums generalizing the classical Gaussian sums. They correspond to irreducible self-dual unitary spherical representations of the one-dimensional double affine Hecke algebra.
Primary Subjects: 11L05
Secondary Subjects: 20C08, 33D80
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1091737182
Mathematical Reviews number (MathSciNet):
MR1838660
Digital Object Identifier: doi:10.1215/S0012-7094-01-10834-X
Zentralblatt MATH identifier:
1007.11050
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