English Dictionary

adjoint

IPA（発音記号）

/ˈæd͡ʒ.ɔɪnt/

形容詞

比較不可 機能語 前置詞句

(mathematics) Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).

日本語の意味

数学において、ある変換に対して、その変換と対になって作用する、あるいはその変換に類似して共役（内部準同型や複素共役など）の性質を持つ別の変換を指す用語。一般には「随伴」と訳される。

The adjoint representation of the Lie algebra is essential for understanding how symmetries act.

リー代数の随伴表現は対称性の作用を理解するのに不可欠です。

意味（1）

(mathematics) Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).

意味（2）

(mathematics, category theory, of a functor) That is related to another functor by an adjunction.

意味（3）

(geometry, of one curve to another curve) Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.

The sets A + A₀, B + B₀, together, form the complete intersection, with f = 0, of a composite adjoint curve of order m + k, consisting of the adjoint curve of order m through A + B, together with the non-adjoint curve ω = 0; and the set B + B₀ consists of p points, and lies on i + j adjoint φ-curves of f = 0.