Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions
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€167.40
A01=Lei Yang
Appell Hypergeometric Functions
Author_Lei Yang
Category=PBF
Category=PBK
Category=PBM
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Invariant Theory
Modular Equations
Regular Complex Polytopes
Product details
- ISBN 9789813209473
- Publication Date: 03 May 2018
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
