SMS scnews item created by James East at Tue 17 Nov 2009 1634
Type: Seminar
Modified: Tue 17 Nov 2009 1641
Distribution: World
Expiry: 20 Nov 2009
Calendar1: 20 Nov 2009 1205-1255
CalLoc1: Carslaw 375

Algebra Seminar

Hopf algebras and solutions to the Yang-Baxter equation

Karen Dancer

Friday November 20, 12:05--12:55pm, Carslaw 375


A Hopf algebra is a structure that is simultaneously an algebra and a co-algebra. In the 1980's V.G. Drinfeld developed a double construction, which embeds any Hopf algebra in a larger Hopf algebra that is inherently quasi-triangular. A consequence of this is that the double algebra provides a solution to the Yang-Baxter equation. In this talk I will introduce Hopf algebras and outline the Drinfeld double construction, focusing on the example of finite group algebras. I will briefly discuss their representation theory before using them to construct solutions to the Yang-Baxter equation, which in turn lead to integrable models with finite group symmetry.


After the seminar we will take the speaker to lunch.

See the Algebra Seminar web page for information about other seminars in the series.

James East

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