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We give a new description of the set Adm() of admissible alcoves as an intersection of certain \obtuse cones" of alcoves, and we show this description may be given by
imposing conditions vertexwise....
Completeness of the Bethe ansatz on Weyl alcoves
Bethe ansatz root systems spectral analysis reflection groups
2010/12/10
We prove the completeness of the Bethe ansatz eigenfunctions of the Laplacian on a Weyl alcove with repulsive boundary condition at the walls. For the root system of type A this amounts to the result ...