Tortile Yang-Baxter operators in tensor categories

André Joyal; Ross Street

doi:10.1016/0022-4049(91)90039-5

Tortile Yang-Baxter operators in tensor categories

André Joyal^*, Ross Street

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

100 Citations (Scopus)

Abstract

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^∼.

Original language	English
Pages (from-to)	43-51
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	71
Issue number	1
DOIs	https://doi.org/10.1016/0022-4049(91)90039-5
Publication status	Published - 29 Apr 1991

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abstract = "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∼.",

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Tortile Yang-Baxter operators in tensor categories

Abstract

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