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Book Synopsis
Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.

Hessian Polyhedra, Invariant Theory And Appell

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Order before 4pm tomorrow for delivery by Tue 30 Dec 2025.

A Hardback by Lei Yang

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    View other formats and editions of Hessian Polyhedra, Invariant Theory And Appell by Lei Yang

    Publisher: World Scientific Publishing Co Pte Ltd
    Publication Date: 03/05/2018
    ISBN13: 9789813209473, 978-9813209473
    ISBN10: 981320947X

    Description

    Book Synopsis
    Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.

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