Last Updated：2025/12/04

(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.

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linear algebraic group

Source Word

linear algebraic group

(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.

Japanese Meaning

一般線形群の部分群として同型である代数群、すなわち、ある一般線形群の内部に同型写像で実現される代数群

To classify the representations, we first consider a connected linear algebraic group defined over an algebraically closed field.

表現を分類するために、まず代数的に閉じた体上に定義された、ある一般線形群の部分群に同型な連結代数群を考える。

Sense（1）

(algebraic geometry, category theory) An algebraic group that is isomorphic to a subgroup of some general linear group.

linear algebraic groups

（ plural ）