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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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    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: 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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