TORTILE YANG-BAXTER OPERATORS IN TENSOR CATEGORIES

[摘要] The free tortile tensor category T(approximately) 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(approximately) as the category whose arrows are tangled ribbons. This alternative universal property can be used to construct representations of T(approximately).

[发布日期] 1991-04-29