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Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions

By (author) Lei Yang
Format: Hardback
Publisher: World Scientific Publishing Co Pte Ltd, Singapore, Singapore
Published: 3rd May 2018
Dimensions: w 170mm h 244mm d 19mm
Weight: 708g
ISBN-10: 981320947X
ISBN-13: 9789813209473
Barcode No: 9789813209473
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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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