Determinant formulas for the $\tau$-functions of the Painlev\'e equations of type $A$
Quantum Algebra
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Explicit determinant formulas are presented for the functions of the generalized Painlev\'e equations of type . This result allows an interpretation of the -functions as the Pl\"ucker coordinates of the universal Grassmann manifold.
Keywords
Cite
@article{arxiv.math/9808002,
title = {Determinant formulas for the $\tau$-functions of the Painlev\'e equations of type $A$},
author = {Yasuhiko Yamada},
journal= {arXiv preprint arXiv:math/9808002},
year = {2007}
}
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latex 11 pages