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On the microlocal structure of the regular prehomogeneous vector space associated with $\mathrm{SL}\left( 5 \right) \times \mathrm{GL} \left( 4 \right)$, I

On the microlocal structure of the regular prehomogeneous vector space associated with $\mathrm{SL}\left( 5 \right) \times \mathrm{GL} \left( 4 \right)$, I

In this article, we study the microlccal structure of the triplet (SL(5) GL(4), A2(R)A1, V(10)(R)V( 4)).In the present article, we give its orbital decomposition, the main part of its holonomy diagram, and some of its local b-functions.Incidentally, this prehomogeneous vector space is the most intricate of all of the reduced …