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Pregled bibliografske jedinice broj: 625349

Hopf torsors over corings


Škoda, Zoran
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:

Avatar Url Zoran Škoda (autor)


Citiraj ovu publikaciju:

Škoda, Zoran
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)
Škoda, Z. (2012) Hopf torsors over corings. U: ESF Exploratory workshop “Interfaces of Noncommutative Geometry with the Representation Theory of Hopf Algebras and Artin Algebras”.
@article{article, author = {\v{S}koda, Zoran}, year = {2012}, keywords = {noncommutative cover, coring, torsor, \v{C}ech cocycle, Hopf algebra, cleft comodule algebra, descent theory}, title = {Hopf torsors over corings}, keyword = {noncommutative cover, coring, torsor, \v{C}ech cocycle, Hopf algebra, cleft comodule algebra, descent theory}, publisherplace = {Istanbul, Turska} }
@article{article, author = {\v{S}koda, Zoran}, year = {2012}, keywords = {noncommutative cover, coring, torsor, \v{C}ech cocycle, Hopf algebra, cleft comodule algebra, descent theory}, title = {Hopf torsors over corings}, keyword = {noncommutative cover, coring, torsor, \v{C}ech cocycle, Hopf algebra, cleft comodule algebra, descent theory}, publisherplace = {Istanbul, Turska} }




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