Polynomials Associated with Dihedral Groups

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dc.creatorDunkl, Charles F.
dc.date2007-02-05
dc.date2007-03-22
dc.date.accessioned2026-07-07T09:34:35Z
dc.date.available2026-07-07T09:34:35Z
dc.descriptionThere is a commutative algebra of differential-difference operators, with two parameters, associated to any dihedral group with an even number of reflections. The intertwining operator relates this algebra to the algebra of partial derivatives. This paper presents an explicit form of the action of the intertwining operator on polynomials by use of harmonic and Jacobi polynomials. The last section of the paper deals with parameter values for which the formulae have singularities.
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0702107
dc.identifierhttp://arxiv.org/abs/math/0702107
dc.identifierSIGMA 3 (2007), 052, 19 pages
dc.identifierdoi:10.3842/SIGMA.2007.052
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159542
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.subjectPrimary 33C45, 33C80, Secondary 20F55
dc.titlePolynomials Associated with Dihedral Groups
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