Abstract
The cocommutative elements of the dual of the double D ( H )*, which are the trace-like functionals on D ( H ), of the Taft (Hopf) algebra H over a field k are studied in detail. The subalgebra of cocommutative elements of D ( H )* is isomorphic to the center of D ( H ). Trace-like functionals on D ( H ) determine regular isotopy invariants of oriented knots and links. Specific calculations made here suggest that further study of these invariants is definitely warranted.
| Original language | English |
|---|---|
| Pages (from-to) | 1-34 |
| Number of pages | 34 |
| Journal | Journal of Algebra |
| Volume | 301 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jul 2006 |
Bibliographical note
Funding Information:* Corresponding author. E-mail address: [email protected] (D.E. Radford). 1 Research supported in part by NSF Grant DMS 980 2178. 2 Research for the paper was done while the author was at UIC on sabbatical. She thanks UIC for its hospitality.
Funding
* Corresponding author. E-mail address: [email protected] (D.E. Radford). 1 Research supported in part by NSF Grant DMS 980 2178. 2 Research for the paper was done while the author was at UIC on sabbatical. She thanks UIC for its hospitality.
| Funders | Funder number |
|---|---|
| National Science Foundation | DMS 980 2178 |