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Non-associative Structures and Other Related Structures

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 evaluat...

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Guardat en:
Format: Online
Idioma:anglès
Publicat: MDPI - Multidisciplinary Digital Publishing Institute 2021
Matèries:
transcendental numbers
Euler formula
Yang–Baxter equation
Jordan algebras
Lie algebras
associative algebras
coalgebras
Euler’s formula
hyperbolic functions
UJLA structures
(co)derivation
dual numbers
operational methods
umbral image techniques
nonassociative algebra
cohomology
extension
metagroup
branching functions
admissible representations
characters
affine Lie algebras
super-Virasoro algebras
nonassociative
product
smashed
twisted wreath
algebra
separable
ideal
n/a
thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general
thema EDItEUR::P Mathematics and Science
Accés en línia:ONIX_20210501_9783039362547_356
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Sumari: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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