Crepant Resolutions of Cⁿ/A₁(n) and Flops of n-Folds for n = 4,5

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In this article, we determine the explicit toric variety structure of ᵃ¹⁽ⁿ⁾(ⁿ) for n=4,5, where A₁(n) is the special diagonal group of all order 2 elements. Through the toric data of ᵃ¹⁽ⁿ⁾(ⁿ), we obtain certain toric crepant resolutions of ⁿ/A₁(n), and the different crepant resolutions are connected by flops of n-folds for n=4,5.