We give a non-negative combinatorial formula, in terms of Littlewood-Richardson numbers, for the \(V^*\)-homology of the unitary representations of the cyclotomic rational Cherednik algebra, and as a consequence, for the graded Betti numbers for the ideals of a class of subspace arrangements arising from the reflection arrangements of complex reflection groups.

中文翻译：

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Cherednik代数的ary表示：$$ V ^ * $$ V ∗-同调

对于环原子有理Cherednik代数的non表示的\（V ^ * \）-同调性，因此，对于Littlewood-Richardson数，我们给出一个非负组合公式，以由复杂反射组的反射布置产生的一类子空间布置的理想。