Commutant

/kəˈmjuːtənt/ noun

Definition

In mathematics, a set of all elements that commute (exchange order without changing the result) with every element of a given set or algebra.

Etymology

From Latin commutare (to exchange) + -ant (suffix for nouns describing an agent or participant). A technical term from abstract algebra developed in the 20th century.

Kelly Says

Commutants are like finding the 'friends' of a mathematical object—all the operations that get along so well that their order doesn't matter. This concept unlocks huge parts of quantum mechanics!

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