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The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of τ -functions related to algebraic curves of arbitrary genus is studied in detail. Explicit expressions for t...
For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, ...
The Schur function expansion of Sato-Segal-Wilson KP τ -functions is reviewed. The case of τ -functions related to algebraic curves of arbitrary genus is studied in detail.
Recent work of Foda and his group on a connection between classical integrable hierarchies (the KP and 2D Toda hierarchies) and some quantum integrable systems (the 6-vertex model with DWBC, the finit...
The partition function for a canonical ensemble of 2D Coulomb charges in a background potential (the Dyson gas) is realized as a vacuum expectation value of a group-like element constructed in terms o...

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