Non-associative Structures and Other Related Structures

Leonhard Euler (1707-1783) was born in Basel Switzerland. Eulers formula is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. When its variable is the number pi Eulers formula evaluates to Eulers identity. On the other hand the Yang-Baxter equation is considered the most beautiful equation by many scholars. In this book we study connections between Eulers formulas and the Yang-Baxter equation. Other interesting sections include: non-associative algebras with metagroup relations; branching functions for admissible representations of affine Lie Algebras; super-Virasoro algebras; dual numbers; UJLA structures; etc.