Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)
《Cohomologie Locale Des Faisceaux Coherents (Sga 2): Seminaire De Geometrie Algebrique Du Bois Marie 1962 (Documents Mathematiques)》 · 第 65 页 · Section 4.3「Induction and Restriction」
The companion notion to induction is that of restriction of representations. If $H$ is a subgroup of $G$ and $W$ is a representation of $G$, we denote it by $W\mathord\downarrow_H^G$ the representation of $H$ whose representation space is again $W$, and where the elements of $H$ act the same way on $W$ as they do when regarded as elements of $G$.