Abstract：
In 2006, Ibukiyama conjectured that there is a linear  isomorphism between a space of Siegel cusp forms of degree 2 of integral  weight and that of half-integral weight. With Arthur's multiplicity  formula on the odd special orthogonal group SO(5) and Gan-Ichino's  multiplicity formula on the metaplectic group Mp(4), Ibukiyama's  conjecture can be proven in a representation theoretic way.

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