What is a Hopf algebra and what is it good for?

Document Type

Presentation Abstract

Presentation Date

11-5-1998

Abstract

Hopf algebras are algebraic objects which combine a beautiful structure with many important applications in mathematics and physics.

I will begin my talk with a number of motivating examples from a variety of mathematical fields. Then I will give an elementary introduction to the structure of Hopf algebras, and give some examples of ways in which Hopf algebras have proven useful in (seemingly) very different areas of mathematics and physics.

This talk will be accessible to graduate students.

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