Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions
Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
| Author: | Lei Yang | ISBN: | 9789813209497 |
| Publisher: | World Scientific Publishing Company | Publication: | March 13, 2018 |
| Imprint: | WSPC | Language: | English |
| Author: | Lei Yang |
| ISBN: | 9789813209497 |
| Publisher: | World Scientific Publishing Company |
| Publication: | March 13, 2018 |
| Imprint: | WSPC |
| Language: | English |
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
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
