A. Yu. Orlov, P. Winternitz
Abstract
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The relation between the $\widehat{\Sl}(\infty)$ algebra of flows commuting with the KP hierarchy and the Kac-Moody-Virasoro Lie point symmetries of individual equations is established. This is used to calculate the point symmetries for all equations in the hierarchy.
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The relation between the $\widehat{\Sl}(\infty)$ algebra of flows commuting with the KP hierarchy and the Kac-Moody-Virasoro Lie point symmetries of individual equations is established. This is used to calculate the point symmetries for all equations in the hierarchy.
Key concepts: Homogeneous space, Hierarchy, Mathematics, Point (geometry), Relation (database), Pure mathematics, Algebra over a field, Mathematical physics