02871nam 2200709z- 450 991055765780332120231214133505.0(CKB)5400000000044928(oapen)https://directory.doabooks.org/handle/20.500.12854/68610(EXLCZ)99540000000004492820202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierNon-associative Structures and Other Related StructuresBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic resource (106 p.)3-03936-254-2 3-03936-255-0 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.Research & information: generalbicsscMathematics & sciencebicssctranscendental numbersEuler formulaYang-Baxter equationJordan algebrasLie algebrasassociative algebrascoalgebrasEuler's formulahyperbolic functionsUJLA structures(co)derivationdual numbersoperational methodsumbral image techniquesnonassociative algebracohomologyextensionmetagroupbranching functionsadmissible representationscharactersaffine Lie algebrassuper-Virasoro algebrasnonassociativeproductsmashedtwisted wreathalgebraseparableidealResearch & information: generalMathematics & scienceNichita Florin Felixedt1327012Nichita Florin FelixothBOOK9910557657803321Non-associative Structures and Other Related Structures3037793UNINA