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Some equivariant constructions in noncommutative algebraic geometry (CROSBI ID 146109)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Škoda, Zoran Some equivariant constructions in noncommutative algebraic geometry // Georgian mathematical journal, 16 (2009), 1; 183-202. doi: 10.1515/GMJ.2009.183

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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Podaci o izdanju

16 (1)

2009.

183-202

objavljeno

1072-947X

10.1515/GMJ.2009.183

Povezanost rada

Matematika

Poveznice
Indeksiranost