Speakur

Word Pronunciation & Dictionary

clifford algebra

Word Rarity Rare

Frequency: Zipf frequency 3.47 in modern English

Syllables
clif-ford al-ge-bra
IPA
27
Scrabble Score
15
Letters
4
Syllables
11
Unique Chars

Meaning

noun

A unital associative algebra which generalizes the algebra of quaternions but which is not necessarily a division algebra; it is generated by a set of γᵢ (with i ranging from, say, 1 to n) such that the square of each γᵢ is fixed to be either +1 or −1, depending on each i, and such that any product γᵢγⱼ anticommutes when its factors are distinct (i.e., when i ne j).

Etymology

Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher.

Inflected Forms

Clifford algebras (plural)

Questions

What does clifford algebra mean?
A unital associative algebra which generalizes the algebra of quaternions but which is not necessarily a division algebra; it is generated by a set of γᵢ (with i ranging from, say, 1 to n) such that the square of each γᵢ is fixed to be either +1 or −1, depending on each i, and such that any product γᵢγⱼ anticommutes when its factors are distinct (i.e., when i ne j).
Where does clifford algebra come from?
Named after William Kingdon Clifford (1845–1879), an English mathematician and philosopher.

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