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.
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