The free tortile tensor category T∼ on one generating object is shown here, by purely algebraic techniques, to also be the free tensor category containing an object equipped with a tortile Yang-Baxter operator. Shum has a geometric characterization of T∼ as the category whose arrows are tangled ribbons. This alternative universal property can be used to construct representations of T∼.
|Number of pages||9|
|Journal||Journal of Pure and Applied Algebra|
|Publication status||Published - 29 Apr 1991|