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math.RT2008★ 24 cited
Trigonometric Cherednik algebra at critical level and quantum many-body problems
E. Emsiz, E. M. Opdam, J. V. Stokman
For any module over the affine Weyl group we construct a representation of the associated trigonometric Cherednik algebra at critical level in terms of Dunkl type operators.…
math.RT2005
Periodic integrable systems with delta-potentials
Erdal Emsiz, Eric M. Opdam, Jasper V. Stokman
In this paper we study root system generalizations of the quantum Bose-gas on the circle with pair-wise delta function interactions. The underlying symmetry structures are shown to…