Geodesic
Dunkl Operators and Canonical Invariants of Reflection Groups
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary symmetric polynomials. We also compute the canonical invariants for all dihedral groups as certain hypergeometric functions.
Keywords: Dunkl operators; reflection group. 
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     author = {Arkady Berenstein and Yurii Burman},
     title = {Dunkl {Operators} and {Canonical} {Invariants} of {Reflection} {Groups}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a56/}
}
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Arkady Berenstein; Yurii Burman. Dunkl Operators and Canonical Invariants of Reflection Groups. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a56/

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