A complete classification of three-dimensional algebras over ℝ and ℂ — 温故知新 (visiting old, learn new)
Yuji KobayashiDepartment of Information Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, JapanKiyoshi ShirayanagiDepartment of Information Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, JapanMakoto TsukadaDepartment of Information Science, Toho University, Miyama 2-2-1, Funabashi, Chiba 274-8510, JapanSin‐Ei Takahasi
2020en
ABI
Аннотация
We provide a complete classification of three-dimensional associative algebras over the real and complex number fields based on a completely elementary proof. We list up all the multiplication tables of the algebras up to isomorphism. We compare our results with those given by mathematicians in the 19th century and this century.
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