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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
We explain the Cayley-Dickson construction of split quasi-octonion algebra, in particular we provide table of the octonion multiplication
📌 3 Key Takeaways
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Objective & Hypothesis:The fundamental properties of split quasi-octonion algebra, O’q, and definitions of fundamental operations such as scalar and vector parts, conjugate, norm, and polar form are presented.
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Key Findings & Data:The fundamental properties of split quasi-octonion algebra, O’q, and definitions of fundamental operations such as scalar and vector parts, conjugate, norm, and polar form are presented.
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Conclusion & Impact:We explain the Cayley-Dickson construction of split quasi-octonion algebra, in particular we provide table of the octonion multiplication
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Alternativity · Cayley-Dickson construction · Split quasi-octonion
Abstract
The fundamental properties of split quasi-octonion algebra, O’q, and definitions of fundamental operations such as scalar and vector parts, conjugate, norm, and polar form are presented. We explain the Cayley-Dickson construction of split quasi-octonion algebra, in particular we provide table of the octonion multiplication
Özet
Split kuaz-oktonyonların temel cebirsel özellikleri ve bazı temel operasyonlar tanımları, örneğin, skalar ve vektör parçaları, eşlenik, norm ve polar formu sunulmuştur. Split kuazi-oktonyonlar cebirin üzerinde Cayley-Dickson yapısını açıkladık, ve oktoniyon çarpım tablosunu temin ettik
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Cite This Article
JAFARİ, M. (2016). The Fundamental Algebraic Properties of Split Quasi-Octonions. Dicle Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 5 - Sayı: 3, 118–122. https://ajindex.com/articles/134322