Abstract
A Yetter-Drinfeld category over a Hopf algebra H with a bijective antipode, is equipped with a 'braiding' which may be symmetric for some of its subcategories (e.g. when H is a triangular Hopf algebra). We prove that under an additional condition (which we term the u-condition) such symmetric subcategories completely resemble the category of vector spaces over a field k, with the ordinary 'flip' map. Consequently, when Char k = 0, one can define well behaving exterior algebras and non-commutative determinant functions.
| Original language | English |
|---|---|
| Pages (from-to) | 267-289 |
| Number of pages | 23 |
| Journal | Applied Categorical Structures |
| Volume | 6 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1998 |
Bibliographical note
Funding Information:★ This research was supported by THE ISRAEL SCIENCE FOUNDATION founded by the Israel Academy of Sciences and Humanities.
Funding
★ This research was supported by THE ISRAEL SCIENCE FOUNDATION founded by the Israel Academy of Sciences and Humanities.
| Funders | Funder number |
|---|---|
| Israel Academy of Sciences and Humanities |
Keywords
- Braided monoidal category
- Characters
- Symmetric category
- The u-condition
- Yetter-Drinfeld category