Pregled bibliografske jedinice broj: 375264
Some equivariant constructions in noncommutative algebraic geometry
Some equivariant constructions in noncommutative algebraic geometry // Georgian mathematical journal, 16 (2009), 1; 183-202 doi:10.1515/GMJ.2009.183 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 375264 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Some equivariant constructions in noncommutative algebraic geometry
Autori
Škoda, Zoran
Izvornik
Georgian mathematical journal (1072-947X) 16
(2009), 1;
183-202
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
noncommutative scheme ; Hopf algebra ; localization ; equivariant sheaf ; monoidal category ; distributive law
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Meljanac, Stjepan, MZOS ) ( CroRIS)
037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Institut "Ruđer Bošković", Zagreb
Profili:
Zoran Škoda
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
