# Hessian polyhedra, invariant theory and Appell hypergeometric partial differential equations

@article{Yang2004HessianPI, title={Hessian polyhedra, invariant theory and Appell hypergeometric partial differential equations}, author={Lei Yang}, journal={arXiv: Number Theory}, year={2004} }

It is well-known that Klein's lectures on the icosahedron and the solution of equations of fifth degree is one of the most important and influential books of 19th-century mathematics. In the present paper, we will give the complex counterpart of Klein's book, i.e., a story about complex regular polyhedra. We will 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…

## 3 Citations

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