English Dictionary

special linear group

名詞

(group theory) For given field F and order n, the group of n×n matrices with determinant 1, with the group operations of matrix multiplication and matrix inversion.

日本語の意味

群論における特殊線形群：与えられた体Fおよび次数nに対して、行列乗法と逆行列を群の演算とする、行列式が1となるn×n行列全体からなる群

To understand the symmetry of volume-preserving linear transformations, we examined the special linear group over a field F and its action on n-dimensional space.

体F上の行列式が1のn×n行列全体の群とそのn次元空間上での作用を調べ、体積を保つ線形変換の対称性を理解した。

意味（1）

(group theory) For given field F and order n, the group of n×n matrices with determinant 1, with the group operations of matrix multiplication and matrix inversion.

The complex special linear group SL(n, C) is the subgroup of GL(n, C) consisting of matrices with determinant one. […] The special linear groups are sometimes also called unimodular groups.

special linear groups （ plural ）