English Dictionary

representation theory

名詞

可算名詞 不可算名詞

(mathematics, algebra) A branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

日本語の意味

表現論：数学の一分野で、抽象代数的な構造の要素をベクトル空間の線形変換として表現し、その性質や構造を研究する分野。

Representation theory provides powerful tools for understanding symmetry in algebraic systems.

抽象代数構造の元をベクトル空間の線形変換として表すことでそれらを研究する数学の分野は、代数系の対称性を理解するための強力な手法を提供します。

意味（1）

(mathematics, algebra) A branch of mathematics that studies abstract algebraic structures by representing their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures.

1989 [Clarendon Press], Robert J. Baston, Michael G. Eastwood, The Penrose Transform: Its Interaction with Representation Theory, 2016 Dover edition.

representation theories （ plural ）