Timeline for Intersection of Frobenius subalgebra objects of a connected Frobenius algebra object
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 8 at 8:51 | comment | added | Sebastien Palcoux | @DaveBenson: Here is maybe a more usual family of examples from [EGNO, Example 7.20.6]: let $H$ be a unimodular non-semisimple finite dimensional Hopf algebra, then $H^*$ is a connected Frobenius algebra object in the category ${\rm Rep}(H \otimes H^{\rm cop})$. | |
| Sep 8 at 8:19 | comment | added | Sebastien Palcoux | @DaveBenson To be honest, I didn't have a specific example in mind when I first read your question. However, after some research, I found the following reference: Section 6 in this paper. The examples of connected Frobenius algebra objects I am most familiar with are the irreducible finite index subfactors, which are semisimple and unitary. My recent questions aim to generalize some well-known results on subfactors to Frobenius algebra objects by relaxing the unitary condition, e.g. this post. | |
| Sep 8 at 6:28 | comment | added | Dave Benson | Can you please give an example in the connected case, that isn't semisimple? | |
| Sep 8 at 1:45 | history | asked | Sebastien Palcoux | CC BY-SA 4.0 |