K. Hikami, BOUNDARY K-MATRIX, ELLIPTIC DUNKL OPERATOR AND QUANTUM MANY-BODY SYSTEMS, Journal of physics. A, mathematical and general, 29(9), 1996, pp. 2135-2147
The infinite-dimensional representation of the boundary K-operator (th
e solution of the reflection equation) is considered. The trigonometri
c K-matrix is studied as a degenerate case of the elliptic operator. A
method to construct the elliptic Dunkl operator is proposed, and the
relationship with the quantum many-body problem is also discussed.