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

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

1998-08-03

arxiv.org/abs/math/9808002v1

Mathematics

Quantum Algebra

latex 11 pages

Scientific paper

Explicit determinant formulas are presented for the $\tau$ functions of the
generalized Painlev\'e equations of type $A$. This result allows an
interpretation of the $\tau$-functions as the Pl\"ucker coordinates of the
universal Grassmann manifold.

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