Fiber Functors on Temperley-Lieb Categories
Shigeru Yamagami
TL;DR
This paper studies fiber functors on Temperley-Lieb categories, classifying them using non-degenerate bilinear forms and exploring the special case of unitary fiber functors.
Contribution
It provides a classification of fiber functors on Temperley-Lieb categories, including the unitary case, based on bilinear form analysis.
Findings
Classification of fiber functors achieved
Unitary fiber functors characterized
Connections to bilinear form theory established
Abstract
Fiber functors on Temperley-Lieb categories are investigated with the help of classification results on non-degenerate bilinear forms. The case of unitary fiber functors is also considered.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research