Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
E. M. Opdam (1993)
Compositio Mathematica
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Displaying similar documents to “Loop groups and equations of KdV type”
Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
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Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this...
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