Tilting objects in derived categories of equivariant sheaves
Abstract
We construct classical tilting objects in derived categories of equivariant sheaves on quasi-projective varieties,
which give equivalences with derived categories of modules over algebras. Our applications include a conceptual explanation
of the importance of the McKay quiver associated to a representation of a finite group G and the development of a McKay correspondence for the cotangent bundle of the projective line.