Last Updated：2025/12/04
In his lecture on quadratic forms, the professor explained how a composition algebra over a field is a non-associative algebra A equipped with a nondegenerate quadratic form N satisfying N(xy) = N(x)N(y) for all x, y ∈ A.
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In his lecture on quadratic forms, the professor explained how a composition algebra over a field is a non-associative algebra A equipped with a nondegenerate quadratic form N satisfying N(xy) = N(x)N(y) for all x, y ∈ A.
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二次形式の講義で、教授は体上の非結合代数で、非退化二次形式Nを備え、任意の x, y に対して N(xy) = N(x)N(y) を満たす代数がどのようなものかを説明した。
