【摘 要】
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The Dunkl operators have been introduced in the later part of 80s of the last century by Charles Dunkl [Du],[Du1] as a powerful mean to study of harmonic an
【机 构】
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Kyoto University, Japan
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
论文部分内容阅读
The Dunkl operators have been introduced in the later part of 80s of the last century by Charles Dunkl [Du],[Du1] as a powerful mean to study of harmonic and orthogonal polynomials related with finite Coxeter groups.In my talk I introduce and study a certain class of nonhomogeneous quadratic algebras together with the distinguish set of mutually commuting elements inside of each,the so-called (universal) Dunkl elements.I describe relations among the Dunkl elements.This result is a further extension and generalization of analogous results obtained in [FK],[P] and [KM].
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