Hurwitz algebra
Hurwitz algebra noun: any one of the unital composition algebras identified by Hurwitz's theorem (on composition algebras) as solutions to the Hurwitz problem.
Noun
Hurwitz algebra (plural Hurwitz algebras)
- Any one of the unital composition algebras identified by Hurwitz's theorem (on composition algebras) as solutions to the Hurwitz problem.
- As we recall, a Hurwitz algebra is a composition algebra with unit element.1995, Susumo Okubo, Introduction to Octonion and Other Non-Associative Algebras in Physics, Cambridge University Press, page 40
- Observe that the unital composition algebra associated with (C,#92;star) by the construction given in the proof of Proposition (33.27) is the Hurwitz algebra (C,#92;diamond) if we set a#61;1.1998, Max-Albert Knus, Alexander Merkurjev, Markus Rost, Jean-Pierre Tignol, The Book of Involutions, American Mathematical Society, page 465
Forms of Hurwitz algebra
| plural | Hurwitz algebras |
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Origin of Hurwitz algebra
Named after German mathematician Adolf Hurwitz (1859–1919); see also Hurwitz problem, Hurwitz's theorem.
Words formed from Hurwitz algebra
- para-Hurwitz algebra
Questions about Hurwitz algebra
- What does Hurwitz algebra mean?
- Hurwitz algebra means any one of the unital composition algebras identified by Hurwitz's theorem (on composition algebras) as solutions to the Hurwitz problem.
- What part of speech is Hurwitz algebra?
- Hurwitz algebra is a noun.
- What is the plural of Hurwitz algebra?
- The plural of Hurwitz algebra is Hurwitz algebras.
Words near Hurwitz algebra in the dictionary
Source and license
Adapted from Wiktionary: Hurwitz algebra (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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