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en

Commutant

UK
/kəˈmjuːtənt/
US
/kəˈmjuːtənt/
ru

Translation of "commutant" into Russian

commutant
Noun
raiting
UK
/kəˈmjuːtənt/
US
/kəˈmjuːtənt/
commutant
commutants pl
The commutant of a set of operators is an important concept in functional analysis.
Коммутант множества операторов является важным понятием в функциональном анализе.

Definitions

commutant
Noun
raiting
UK
/kəˈmjuːtənt/
US
/kəˈmjuːtənt/
In abstract algebra, the commutant of a subset S of a ring, algebra, or algebra of operators is the set of all elements that commute with every element of S.
Knowing the commutant of the matrix set helps identify the algebra's centre.
(Group theory, rare) The commutator subgroup of a group; the subgroup generated by all commutators.
For an abelian group the commutant is trivial, consisting only of the identity element.
commutant
Adjective
raiting
UK
/kəˈmjuːtənt/
US
/kəˈmjuːtənt/
Relating to or designating a commutant.
The commutant subalgebra is maximal within the von Neumann algebra.