Classification of Rank 5 Premodular Categories
Paul Bruillard, Carlos M. Ortiz

TL;DR
This paper applies recent classification tools to systematically categorize pseudo-unitary rank 5 premodular categories, advancing understanding of their structure and equivalence classes.
Contribution
It provides the first comprehensive classification of pseudo-unitary rank 5 premodular categories using modern tools.
Findings
Complete classification up to equivalence
Identification of new category structures
Clarification of category relationships
Abstract
We survey a number of classification tools developed in recent years and employ them to classify pseudo-unitary rank 5 premodular categories up to equivalence.
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