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).
Drinfeld, Degenerate affine Hecke algebras and
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A closed formula for Schur elements of cyclotomic Hecke-Clifford superalgebras is obtained, yielding semisimplicity criteria for (super)symmetric superalgebras and for cyclotomic quiver Hecke superalgebras of types A, C, and D.
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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).
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On the semisimplicity and Schur elements of (super)symmetric superalgebras
A closed formula for Schur elements of cyclotomic Hecke-Clifford superalgebras is obtained, yielding semisimplicity criteria for (super)symmetric superalgebras and for cyclotomic quiver Hecke superalgebras of types A, C, and D.