Classification of irreducible completely splittable representations of affine Hecke-Clifford superalgebras at roots of unity, giving necessary and sufficient conditions for semisimplicity of the finite version: semisimple iff h > n (h odd) or h > 2n (h even).
Wang, Double affine Hecke-Clifford algebras for the spin symmetric group , preprint, math.RT/0608074
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Representations of Hecke-Clifford superalgebras at roots of unity
Classification of irreducible completely splittable representations of affine Hecke-Clifford superalgebras at roots of unity, giving necessary and sufficient conditions for semisimplicity of the finite version: semisimple iff h > n (h odd) or h > 2n (h even).