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portada Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions
Type
Physical Book
Author
Year
2018
Language
English
Pages
308
Format
Hardcover
ISBN13
9789813209473
Categories

Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions

Lei Yang (Author) · World Scientific Publishing Company · Hardcover

Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions - Lei Yang

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£ 154.08

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Synopsis "Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions"

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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