Last Updated :2025/12/04

Hurwitz algebra

Noun
Japanese Meaning
Hurwitz代数とは、Hurwitzの定理により導かれる、単位元を持つ合成代数(合成可能な構造をもつ代数体系)であり、Hurwitz問題の解として特定される代数のことです。
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ハーウィッツの定理によれば、任意の有限次元で乗法的ノルムを持つ合成代数は、その定理で分類される単位的合成代数のひとつと同型である。

plural

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(algebra) Any one of the unital composition algebras identified by Hurwitz's theorem (on composition algebras) as solutions to the Hurwitz problem.

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Hurwitz algebra

According to Hurwitz's theorem, any finite-dimensional composition algebra with a multiplicative norm is isomorphic to a Hurwitz algebra.

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According to Hurwitz's theorem, any finite-dimensional composition algebra with a multiplicative norm is isomorphic to a Hurwitz algebra.

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