Determinant formulas for the $τ$-functions of the Painlevé equations of type $A$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77234Explicit determinant formulas are presented for the $τ$ functions of the generalized Painlevé equations of type $A$. This result allows an interpretation of the $τ$-functions as the Plücker coordinates of the universal Grassmann manifold.latex 11 pagesQuantum AlgebraMathematical PhysicsDeterminant formulas for the $τ$-functions of the Painlevé equations of type $A$text