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math-ph2022★ 5 cited
Tau functions, infinite Grassmannians and lattice recurrences
S. Arthamonov, J. Harnad, J. Hurtubise
The addition formulae for KP -functions, when evaluated at lattice points in the KP flow group orbits in the infinite dimensional Sato-Segal-Wilson Grassmannian, give infinite p…
math-ph2022★ 7 cited
Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations
S. Arthamonov, J. Harnad, J. Hurtubise
This work concerns the relation between the geometry of Lagrangian Grassmannians and the CKP integrable hierarchy. The Lagrange map from the Lagrangian Grassmannian of maximal isot…