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I am reading Jimbo's Introduction to Yang-Baxter Equations. And I am confused by the notation he used in the definition:

Here he uses $u\in C$ without previously mentioning what is $C$. I guess there is some `convention' I missed here. Is $C$ the complex field $\mathbb C$ (since he takes $V$ as a complex vector space), or is it some other Category?

Thanks.

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    $\begingroup$ Complex field. No subtlety, beyond what is about to follow. $\endgroup$ – Cosmas Zachos May 30 at 0:16

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