Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions

by Lei Yang

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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.

Format:Hardcover

Language:English

ISBN:981320947X

ISBN13:9789813209473

Release Date:May 2018

Publisher:World Scientific Publishing Company

Length:316 Pages

Weight:1.56 lbs.

Dimensions:0.8" x 6.7" x 9.6"

Related Subjects

Math Mathematics Science & Math

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Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions

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