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Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy

Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy

In this paper, we construct the additional symmetries of one-component constrained discrete KP (cdKP) hierarchy, and then prove that the algebraic structure of the symmetry flows is the positive half of Virasoro algebra.