Notes on the Dunkl Operator

Abstract

The Dunkl operator is constructed based on the Yang-Baxter equation.We regard the R- and K-matrix, which satisfy the Yang-Baxter equation and th boundary Yang-Baxter equation, as operators acting on the functional space.In terms of these R- and K-operators acting on the functional space.In terms of these R- and K-operators, the Dunkl operator with boundary is explicitly construction.