English Dictionary

general linear group

名詞

(group theory) For given field F and order n, the group of invertible n×n matrices, with the group operation of matrix multiplication.

日本語の意味

与えられた体 F 上の n 次正方行列のうち、逆行列を持つ行列全体で、行列の積を群演算とする群。

In group theory, the general linear group GL_n(F) is the group of all invertible n×n matrices over a field F under matrix multiplication.

群論において、一般線形群 GL_n(F) は体F上の可逆なn×n行列全体であり、群演算は行列の積です。

意味（1）

(group theory) For given field F and order n, the group of invertible n×n matrices, with the group operation of matrix multiplication.

Often Lie groups arise as subgroups of certain larger Lie groups; for example, the orthogonal groups are subgroups of the general linear groups of all invertible matrices.

general linear groups （ plural ）