Pregled bibliografske jedinice broj: 287191
Actions of monoidal categories which represent actions in noncommutative geometry
Actions of monoidal categories which represent actions in noncommutative geometry // Trends in noncommutative geometry
Cambridge, Ujedinjeno Kraljevstvo, 2006. (poster, nije recenziran, neobjavljeni rad, znanstveni)
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Naslov
Actions of monoidal categories which represent actions in noncommutative geometry
Autori
Škoda, Zoran
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni
Skup
Trends in noncommutative geometry
Mjesto i datum
Cambridge, Ujedinjeno Kraljevstvo, 18.12.2006. - 22.12.2006
Vrsta sudjelovanja
Poster
Vrsta recenzije
Nije recenziran
Ključne riječi
monoidal category; action; equivariant sheaf; noncommutative geometry; Hopf algebra
Sažetak
In a number of examples studied in noncommutative geometry, Hopf algebras appear as symmetries of noncommutative spaces. Actions and coactions of Hopf algebras on noncommutative algebras were studied in past. In this talk I will explain how to extend such "affine" examples to nonaffine examples where the noncommutative algebra acted upon is replaced by some category "of (quasi)coherent sheaves" and the Hopf algebra in Tannakian spirit by a monoidal category. The relative setup forces an appearance of distributive laws, in particular those distributive laws which are named "entwining structures", and many other examples. Notions of equivariant sheaves and a natural setup for torsors and stack-like noncommutative quotients will also be presented in this generality.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Napomena
Datoteka ce biti unesena naknadno
