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Non-associative Structures and Other Related Structures
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Leonhard Euler (1707–1783) was born in Basel, Switzerland. Euler's 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, Euler's formula evaluates to Euler's 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 Euler’s 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.
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Keywords
- (co)derivation
- admissible representations
- affine Lie algebras
- Algebra
- associative algebras
- branching functions
- Characters
- coalgebras
- Cohomology
- dual numbers
- Euler formula
- Euler’s formula
- extension
- hyperbolic functions
- Ideal
- Jordan algebras
- Lie algebras
- Mathematics & science
- metagroup
- n/a
- nonassociative
- nonassociative algebra
- operational methods
- Product
- Reference, information & interdisciplinary subjects
- Research & information: general
- separable
- smashed
- super-Virasoro algebras
- transcendental numbers
- twisted wreath
- UJLA structures
- umbral image techniques
- Yang–Baxter equation
Links
DOI: 10.3390/books978-3-03936-255-4Editions