Some equivariant constructions in noncommutative algebraic geometry (CROSBI ID 146109)
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Podaci o odgovornosti
Škoda, Zoran
engleski
Some equivariant constructions in noncommutative algebraic geometry
We here present rudiments of an approach to geometric actions in noncommutative algebraic geometry, based on geometrically admissible actions of monoidal categories. This generalizes the usual (co)module algebras over Hopf algebras which provide affine examples. We introduce a compatibility of monoidal actions and localizations which is a distributive law. There are satisfactory notions of equivariant objects, noncommutative fiber bundles and quotients in this setup.
noncommutative scheme ; Hopf algebra ; localization ; equivariant sheaf ; monoidal category ; distributive law
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