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equivariant sheaves
equivariant sheaves
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classifying space
${\mathsf{Sh}}({{\mathbf{B}}G}; { \mathsf{Vect} }{/ {k}} ) \cong {\mathsf{Rep}}(G){/ {k}} $, and \({\mathsf{Sh}}({\mathbf{B}}GX; { \mathsf{Vect} }_{/ {k}} )\cong {\mathsf{Sh}}^G(X; { \mathsf{Vect} }_{/ {k}} )\), the category of equivariant sheaves for \(G\) over \(X\).