Pregled bibliografske jedinice broj: 625349
Hopf torsors over corings
Hopf torsors over corings // ESF Exploratory workshop “Interfaces of Noncommutative Geometry with the Representation Theory of Hopf Algebras and Artin Algebras”
Istanbul, Turska, 2012. (pozvano predavanje, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Hopf torsors over corings
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
ESF Exploratory workshop “Interfaces of Noncommutative Geometry with the Representation Theory of Hopf Algebras and Artin Algebras”
Mjesto i datum
Istanbul, Turska, 07.08.2012. - 10.08.2012
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Nije recenziran
Ključne riječi
noncommutative cover ; coring ; torsor ; Čech cocycle ; Hopf algebra ; cleft comodule algebra ; descent theory
Sažetak
A noncommutative space can often be presented by a noncommutative cover by affines, i.e. by spaces represented by noncommutative algebras. Such a cover can be presented by a coring with a distinguished group like element, as in the 1998 work of Kontsevich and Rosenberg. Given such a cover and a Hopf algebra H, I will present a generalization of cleft H-comodule algebras over a base space presented by a cover, where the total space is also given by a cover, together with an appropriate version of a coaction of H. Such a Spec(H)-torsor can be equivalently given by a new kind of Čech like cocycle data over the base. This concept is studied in a work in progress with Tomasz Brzeziński.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372794-2807 - Homološke i geometrijske metode u teoriji reprezentacija (Pandžić, Pavle, MZOS ) ( CroRIS)
MZOS-098-0000000-2865 - Kvantna teorija polja, nekomutativni prostori i simetrije (Meljanac, Stjepan, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Institut "Ruđer Bošković", Zagreb,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Zoran Škoda
(autor)