Examples of liftings of modular and unidentified type: ufo(7,8) and br(2,a)
Agust\'in Garc\'ia Iglesias, Edwin Pacheco Rodr\'iguez
TL;DR
This paper systematically computes all liftings of braidings for the unidentified types ufo(7) and ufo(8), and provides examples of liftings of modular type br(2,a), expanding the understanding of these algebraic structures.
Contribution
It offers a complete classification of liftings for ufo(7), ufo(8), and new examples for br(2,a), advancing the study of these algebraic objects.
Findings
All liftings of ufo(7) and ufo(8) are computed.
New examples of liftings of br(2,a) are provided.
Some ufo(7) and ufo(8) liftings were previously known, now fully classified.
Abstract
We compute all liftings of braidings of unidentified types ufo(7) and ufo(8). Some of these examples had been previously computed by Helbig. We also present a list of examples of liftings of modular type br(2,a).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Nonlinear Waves and Solitons · Advanced Algebra and Geometry