2023-11-03: Joe Collins (MSP)

Tue, 14 Oct 2025 16:51:42 +0000

Joe Collins (MSP)

Hopf-Frobenius Algebras

Abstract

Hopf algebras and Frobenius algebras are two fairly common algebraic structures. They even look pretty similar if you squint your eyes - both consist of a monoid/ comonoid pair, and some algebraic rule that tells you how they interact. There are a few instances where a single object in a category has the properties of both a Hopf algebra and a Frobenius algebra, called a Hopf-Frobenius algebra. In particular, ZX calculus, a way of modelling quantum circuits using symmetric monoidal categories, has this property. Why? And where else does this occur?

In this talk, I will be talking about what a Hopf-Frobenius algebra is and where it comes from.

2023-11-03 14:00:00 UTC
LT210 and Online