More examples of pseudosymmetric braided categories
Florin Panaite, Mihai D. Staic
TL;DR
This paper explores specific examples of braided categories and quasitriangular Hopf algebras to determine their pseudosymmetry or pseudotriangularity, and establishes the existence of a universal pseudosymmetric braided category.
Contribution
It provides new examples and classifications of pseudosymmetric braided categories and demonstrates the existence of a universal pseudosymmetric braided category.
Findings
Identification of pseudosymmetric and pseudotriangular structures in examples
Construction of a universal pseudosymmetric braided category
Classification results for certain braided categories
Abstract
We study some examples of braided categories and quasitriangular Hopf algebras and decide which of them is pseudosymmetric, respectively pseudotriangular. We show also that there exists a universal pseudosymmetric braided category.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Topics in Algebra