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Creators/Authors contains: "Hernández Palomares, Roberto"

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  1. ; ; ; (, Journal of Functional Analysis)
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  2. ; (, Journal of Mathematical Physics)
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  3. ; (, International Journal of Mathematics)
    Generalized Temperley–Lieb–Jones (TLJ) 2-categories associated to weighted bidirected graphs were introduced in unpublished work of Morrison and Walker. We introduce unitary modules for these generalized TLJ 2-categories as strong ∗-pseudofunctors into the ∗-2-category of row-finite separable bigraded Hilbert spaces. We classify these modules up to ∗-equivalence in terms of weighted bi-directed fair and balanced graphs in the spirit of Yamagami’s classification of fiber functors on TLJ categories and DeCommer and Yamashita’s classification of unitary modules for [Formula: see text]. 
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