Starts 18 May 2004 15:00

Ends 18 May 2004 20:00

Central European Time

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Quiver approaches to Hopf algebras

Starts 18 May 2004 15:00

Ends 18 May 2004 20:00

Central European Time

ICTP

Main Building Seminar Room

Strada Costiera, 11
I - 34151 Trieste (Italy)

Abstract: A quiver is an oriented graph consisting of vertices and arrows. One can construct the path algebras and their quotients of the quivers. This provides finite dimensional elementary algebras in an exhaustive way, due to a well-known theorem of Gabriel. There is a dual analogue for coalgebras given by Chin and Montgomery. A Hopf algebra is simultaneously an algebra and a coalgebra in a compatible way. It is natural to construct Hopf algebras via quivers. We give a survey on this direction and propose to classify finite dimensional pointed (resp. elementary) Hopf algebras via quivers.

- triolo